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Finding the Third Proportional to 81,103 and 124,730

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Solution

The third proportional to 81,103 and 124,730 is: 191,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,103 : 124,730 = 124,730 : x
  2. Step 2: Convert to fraction form
    81,103/124,730 = 124,730/x
  3. Step 3: Cross multiply
    81,103x = 124,730 × 124,730
  4. Step 4: Simplify right side
    81,103x = 15,557,572,900
  5. Step 5: Solve for x
    x = 15,557,572,900/81,103
  6. Step 6: Final answer
    x = 191,824.88

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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.