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Finding the Third Proportional to 18,781.50 and 40,695

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Solution

The third proportional to 18,781.50 and 40,695 is: 88,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.50 : 40,695 = 40,695 : x
  2. Step 2: Convert to fraction form
    18,781.50/40,695 = 40,695/x
  3. Step 3: Cross multiply
    18,781.50x = 40,695 × 40,695
  4. Step 4: Simplify right side
    18,781.50x = 1,656,083,025
  5. Step 5: Solve for x
    x = 1,656,083,025/18,781.50
  6. Step 6: Final answer
    x = 88,176.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.