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Finding the Third Proportional to 81,169 and 124,831

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Solution

The third proportional to 81,169 and 124,831 is: 191,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169 : 124,831 = 124,831 : x
  2. Step 2: Convert to fraction form
    81,169/124,831 = 124,831/x
  3. Step 3: Cross multiply
    81,169x = 124,831 × 124,831
  4. Step 4: Simplify right side
    81,169x = 15,582,778,561
  5. Step 5: Solve for x
    x = 15,582,778,561/81,169
  6. Step 6: Final answer
    x = 191,979.43

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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.