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Finding the Third Proportional to 81,609 and 124,758

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Solution

The third proportional to 81,609 and 124,758 is: 190,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609 : 124,758 = 124,758 : x
  2. Step 2: Convert to fraction form
    81,609/124,758 = 124,758/x
  3. Step 3: Cross multiply
    81,609x = 124,758 × 124,758
  4. Step 4: Simplify right side
    81,609x = 15,564,558,564
  5. Step 5: Solve for x
    x = 15,564,558,564/81,609
  6. Step 6: Final answer
    x = 190,721.10

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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.