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Finding the Third Proportional to 81,471 and 124,629

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Solution

The third proportional to 81,471 and 124,629 is: 190,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471 : 124,629 = 124,629 : x
  2. Step 2: Convert to fraction form
    81,471/124,629 = 124,629/x
  3. Step 3: Cross multiply
    81,471x = 124,629 × 124,629
  4. Step 4: Simplify right side
    81,471x = 15,532,387,641
  5. Step 5: Solve for x
    x = 15,532,387,641/81,471
  6. Step 6: Final answer
    x = 190,649.28

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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.