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Finding the Third Proportional to 7,125.47 and 15,493.78

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Solution

The third proportional to 7,125.47 and 15,493.78 is: 33,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.47 : 15,493.78 = 15,493.78 : x
  2. Step 2: Convert to fraction form
    7,125.47/15,493.78 = 15,493.78/x
  3. Step 3: Cross multiply
    7,125.47x = 15,493.78 × 15,493.78
  4. Step 4: Simplify right side
    7,125.47x = 240,057,257.42
  5. Step 5: Solve for x
    x = 240,057,257.42/7,125.47
  6. Step 6: Final answer
    x = 33,690.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.