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Finding the Third Proportional to 177,241 and 272,431

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Solution

The third proportional to 177,241 and 272,431 is: 418,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,241 : 272,431 = 272,431 : x
  2. Step 2: Convert to fraction form
    177,241/272,431 = 272,431/x
  3. Step 3: Cross multiply
    177,241x = 272,431 × 272,431
  4. Step 4: Simplify right side
    177,241x = 74,218,649,761
  5. Step 5: Solve for x
    x = 74,218,649,761/177,241
  6. Step 6: Final answer
    x = 418,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.