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Finding the Third Proportional to 312,892,821 and 680,210,541

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Solution

The third proportional to 312,892,821 and 680,210,541 is: 1,478,737,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,892,821 : 680,210,541 = 680,210,541 : x
  2. Step 2: Convert to fraction form
    312,892,821/680,210,541 = 680,210,541/x
  3. Step 3: Cross multiply
    312,892,821x = 680,210,541 × 680,210,541
  4. Step 4: Simplify right side
    312,892,821x = 462,686,380,087,512,704
  5. Step 5: Solve for x
    x = 462,686,380,087,512,704/312,892,821
  6. Step 6: Final answer
    x = 1,478,737,602.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.