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Finding the Third Proportional to 7,519.50 and 15,221.53

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Solution

The third proportional to 7,519.50 and 15,221.53 is: 30,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519.50 : 15,221.53 = 15,221.53 : x
  2. Step 2: Convert to fraction form
    7,519.50/15,221.53 = 15,221.53/x
  3. Step 3: Cross multiply
    7,519.50x = 15,221.53 × 15,221.53
  4. Step 4: Simplify right side
    7,519.50x = 231,695,013.59
  5. Step 5: Solve for x
    x = 231,695,013.59/7,519.50
  6. Step 6: Final answer
    x = 30,812.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.