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Finding the Third Proportional to 680,345,193,660 and 1,457,732,338,641

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Solution

The third proportional to 680,345,193,660 and 1,457,732,338,641 is: 3,123,390,289,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,345,193,660 : 1,457,732,338,641 = 1,457,732,338,641 : x
  2. Step 2: Convert to fraction form
    680,345,193,660/1,457,732,338,641 = 1,457,732,338,641/x
  3. Step 3: Cross multiply
    680,345,193,660x = 1,457,732,338,641 × 1,457,732,338,641
  4. Step 4: Simplify right side
    680,345,193,660x = 2,124,983,571,119,759,001,911,296
  5. Step 5: Solve for x
    x = 2,124,983,571,119,759,001,911,296/680,345,193,660
  6. Step 6: Final answer
    x = 3,123,390,289,109.20

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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.