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Finding the Third Proportional to 177,828 and 272,663

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Solution

The third proportional to 177,828 and 272,663 is: 418,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,828 : 272,663 = 272,663 : x
  2. Step 2: Convert to fraction form
    177,828/272,663 = 272,663/x
  3. Step 3: Cross multiply
    177,828x = 272,663 × 272,663
  4. Step 4: Simplify right side
    177,828x = 74,345,111,569
  5. Step 5: Solve for x
    x = 74,345,111,569/177,828
  6. Step 6: Final answer
    x = 418,073.15

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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.