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Finding the Third Proportional to 15,781.50 and 36,639

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Solution

The third proportional to 15,781.50 and 36,639 is: 85,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.50 : 36,639 = 36,639 : x
  2. Step 2: Convert to fraction form
    15,781.50/36,639 = 36,639/x
  3. Step 3: Cross multiply
    15,781.50x = 36,639 × 36,639
  4. Step 4: Simplify right side
    15,781.50x = 1,342,416,321
  5. Step 5: Solve for x
    x = 1,342,416,321/15,781.50
  6. Step 6: Final answer
    x = 85,062.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.