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Finding the Third Proportional to 110,449 and 172,781

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Solution

The third proportional to 110,449 and 172,781 is: 270,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,449 : 172,781 = 172,781 : x
  2. Step 2: Convert to fraction form
    110,449/172,781 = 172,781/x
  3. Step 3: Cross multiply
    110,449x = 172,781 × 172,781
  4. Step 4: Simplify right side
    110,449x = 29,853,273,961
  5. Step 5: Solve for x
    x = 29,853,273,961/110,449
  6. Step 6: Final answer
    x = 270,290.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.