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Finding the Third Proportional to 177,817 and 272,665

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Solution

The third proportional to 177,817 and 272,665 is: 418,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,817 : 272,665 = 272,665 : x
  2. Step 2: Convert to fraction form
    177,817/272,665 = 272,665/x
  3. Step 3: Cross multiply
    177,817x = 272,665 × 272,665
  4. Step 4: Simplify right side
    177,817x = 74,346,202,225
  5. Step 5: Solve for x
    x = 74,346,202,225/177,817
  6. Step 6: Final answer
    x = 418,105.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.