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Finding the Third Proportional to 8,515.13 and 12,997.55

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Solution

The third proportional to 8,515.13 and 12,997.55 is: 19,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.13 : 12,997.55 = 12,997.55 : x
  2. Step 2: Convert to fraction form
    8,515.13/12,997.55 = 12,997.55/x
  3. Step 3: Cross multiply
    8,515.13x = 12,997.55 × 12,997.55
  4. Step 4: Simplify right side
    8,515.13x = 168,936,224.77
  5. Step 5: Solve for x
    x = 168,936,224.77/8,515.13
  6. Step 6: Final answer
    x = 19,839.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.