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Finding the Third Proportional to 17,707.50 and 38,115

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Solution

The third proportional to 17,707.50 and 38,115 is: 82,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.50 : 38,115 = 38,115 : x
  2. Step 2: Convert to fraction form
    17,707.50/38,115 = 38,115/x
  3. Step 3: Cross multiply
    17,707.50x = 38,115 × 38,115
  4. Step 4: Simplify right side
    17,707.50x = 1,452,753,225
  5. Step 5: Solve for x
    x = 1,452,753,225/17,707.50
  6. Step 6: Final answer
    x = 82,041.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.