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Finding the Third Proportional to 7,452.75 and 9,988.69

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Solution

The third proportional to 7,452.75 and 9,988.69 is: 13,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.75 : 9,988.69 = 9,988.69 : x
  2. Step 2: Convert to fraction form
    7,452.75/9,988.69 = 9,988.69/x
  3. Step 3: Cross multiply
    7,452.75x = 9,988.69 × 9,988.69
  4. Step 4: Simplify right side
    7,452.75x = 99,773,877.97
  5. Step 5: Solve for x
    x = 99,773,877.97/7,452.75
  6. Step 6: Final answer
    x = 13,387.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.