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Finding the Third Proportional to 7,729.50 and 11,742

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Solution

The third proportional to 7,729.50 and 11,742 is: 17,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.50 : 11,742 = 11,742 : x
  2. Step 2: Convert to fraction form
    7,729.50/11,742 = 11,742/x
  3. Step 3: Cross multiply
    7,729.50x = 11,742 × 11,742
  4. Step 4: Simplify right side
    7,729.50x = 137,874,564
  5. Step 5: Solve for x
    x = 137,874,564/7,729.50
  6. Step 6: Final answer
    x = 17,837.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.