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Finding the Third Proportional to 7,712.25 and 16,729.50

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Solution

The third proportional to 7,712.25 and 16,729.50 is: 36,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.25 : 16,729.50 = 16,729.50 : x
  2. Step 2: Convert to fraction form
    7,712.25/16,729.50 = 16,729.50/x
  3. Step 3: Cross multiply
    7,712.25x = 16,729.50 × 16,729.50
  4. Step 4: Simplify right side
    7,712.25x = 279,876,170.25
  5. Step 5: Solve for x
    x = 279,876,170.25/7,712.25
  6. Step 6: Final answer
    x = 36,289.82

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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.