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Finding the Third Proportional to 7,729.88 and 11,666.53

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Solution

The third proportional to 7,729.88 and 11,666.53 is: 17,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.88 : 11,666.53 = 11,666.53 : x
  2. Step 2: Convert to fraction form
    7,729.88/11,666.53 = 11,666.53/x
  3. Step 3: Cross multiply
    7,729.88x = 11,666.53 × 11,666.53
  4. Step 4: Simplify right side
    7,729.88x = 136,107,951.41
  5. Step 5: Solve for x
    x = 136,107,951.41/7,729.88
  6. Step 6: Final answer
    x = 17,608.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.