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Finding the Third Proportional to 10,428.75 and 16,129.97

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Solution

The third proportional to 10,428.75 and 16,129.97 is: 24,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 16,129.97 = 16,129.97 : x
  2. Step 2: Convert to fraction form
    10,428.75/16,129.97 = 16,129.97/x
  3. Step 3: Cross multiply
    10,428.75x = 16,129.97 × 16,129.97
  4. Step 4: Simplify right side
    10,428.75x = 260,175,891.88
  5. Step 5: Solve for x
    x = 260,175,891.88/10,428.75
  6. Step 6: Final answer
    x = 24,947.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.