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Finding the Third Proportional to 680,345,193,656.25 and 1,457,732,338,634.20

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Solution

The third proportional to 680,345,193,656.25 and 1,457,732,338,634.20 is: 3,123,390,289,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,345,193,656.25 : 1,457,732,338,634.20 = 1,457,732,338,634.20 : x
  2. Step 2: Convert to fraction form
    680,345,193,656.25/1,457,732,338,634.20 = 1,457,732,338,634.20/x
  3. Step 3: Cross multiply
    680,345,193,656.25x = 1,457,732,338,634.20 × 1,457,732,338,634.20
  4. Step 4: Simplify right side
    680,345,193,656.25x = 2,124,983,571,099,933,701,308,416
  5. Step 5: Solve for x
    x = 2,124,983,571,099,933,701,308,416/680,345,193,656.25
  6. Step 6: Final answer
    x = 3,123,390,289,097.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.