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Finding the Third Proportional to 687,029 and 949,327

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Solution

The third proportional to 687,029 and 949,327 is: 1,311,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,029 : 949,327 = 949,327 : x
  2. Step 2: Convert to fraction form
    687,029/949,327 = 949,327/x
  3. Step 3: Cross multiply
    687,029x = 949,327 × 949,327
  4. Step 4: Simplify right side
    687,029x = 901,221,752,929
  5. Step 5: Solve for x
    x = 901,221,752,929/687,029
  6. Step 6: Final answer
    x = 1,311,766.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.