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Finding the Third Proportional to 15,129.75 and 36,609

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Solution

The third proportional to 15,129.75 and 36,609 is: 88,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.75 : 36,609 = 36,609 : x
  2. Step 2: Convert to fraction form
    15,129.75/36,609 = 36,609/x
  3. Step 3: Cross multiply
    15,129.75x = 36,609 × 36,609
  4. Step 4: Simplify right side
    15,129.75x = 1,340,218,881
  5. Step 5: Solve for x
    x = 1,340,218,881/15,129.75
  6. Step 6: Final answer
    x = 88,581.69

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.