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Finding the Third Proportional to 317,594,876 and 687,951,854

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Solution

The third proportional to 317,594,876 and 687,951,854 is: 1,490,193,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594,876 : 687,951,854 = 687,951,854 : x
  2. Step 2: Convert to fraction form
    317,594,876/687,951,854 = 687,951,854/x
  3. Step 3: Cross multiply
    317,594,876x = 687,951,854 × 687,951,854
  4. Step 4: Simplify right side
    317,594,876x = 473,277,753,422,037,312
  5. Step 5: Solve for x
    x = 473,277,753,422,037,312/317,594,876
  6. Step 6: Final answer
    x = 1,490,193,290.85

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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.