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Finding the Third Proportional to 8,515.13 and 10,180.69

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Solution

The third proportional to 8,515.13 and 10,180.69 is: 12,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.13 : 10,180.69 = 10,180.69 : x
  2. Step 2: Convert to fraction form
    8,515.13/10,180.69 = 10,180.69/x
  3. Step 3: Cross multiply
    8,515.13x = 10,180.69 × 10,180.69
  4. Step 4: Simplify right side
    8,515.13x = 103,646,397.97
  5. Step 5: Solve for x
    x = 103,646,397.97/8,515.13
  6. Step 6: Final answer
    x = 12,172.03

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.