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Finding the Third Proportional to 299,691 and 637,522

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Solution

The third proportional to 299,691 and 637,522 is: 1,356,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,691 : 637,522 = 637,522 : x
  2. Step 2: Convert to fraction form
    299,691/637,522 = 637,522/x
  3. Step 3: Cross multiply
    299,691x = 637,522 × 637,522
  4. Step 4: Simplify right side
    299,691x = 406,434,300,484
  5. Step 5: Solve for x
    x = 406,434,300,484/299,691
  6. Step 6: Final answer
    x = 1,356,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.