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Finding the Third Proportional to 299,269 and 656,691

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Solution

The third proportional to 299,269 and 656,691 is: 1,440,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,269 : 656,691 = 656,691 : x
  2. Step 2: Convert to fraction form
    299,269/656,691 = 656,691/x
  3. Step 3: Cross multiply
    299,269x = 656,691 × 656,691
  4. Step 4: Simplify right side
    299,269x = 431,243,069,481
  5. Step 5: Solve for x
    x = 431,243,069,481/299,269
  6. Step 6: Final answer
    x = 1,440,988.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.