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Finding the Third Proportional to 8,575.13 and 18,517.13

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Solution

The third proportional to 8,575.13 and 18,517.13 is: 39,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.13 : 18,517.13 = 18,517.13 : x
  2. Step 2: Convert to fraction form
    8,575.13/18,517.13 = 18,517.13/x
  3. Step 3: Cross multiply
    8,575.13x = 18,517.13 × 18,517.13
  4. Step 4: Simplify right side
    8,575.13x = 342,883,918.27
  5. Step 5: Solve for x
    x = 342,883,918.27/8,575.13
  6. Step 6: Final answer
    x = 39,985.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.