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Finding the Third Proportional to 7,421.50 and 11,542.75

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Solution

The third proportional to 7,421.50 and 11,542.75 is: 17,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.50 : 11,542.75 = 11,542.75 : x
  2. Step 2: Convert to fraction form
    7,421.50/11,542.75 = 11,542.75/x
  3. Step 3: Cross multiply
    7,421.50x = 11,542.75 × 11,542.75
  4. Step 4: Simplify right side
    7,421.50x = 133,235,077.56
  5. Step 5: Solve for x
    x = 133,235,077.56/7,421.50
  6. Step 6: Final answer
    x = 17,952.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.