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Finding the Third Proportional to 12,939.75 and 20,451.87

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Solution

The third proportional to 12,939.75 and 20,451.87 is: 32,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 20,451.87 = 20,451.87 : x
  2. Step 2: Convert to fraction form
    12,939.75/20,451.87 = 20,451.87/x
  3. Step 3: Cross multiply
    12,939.75x = 20,451.87 × 20,451.87
  4. Step 4: Simplify right side
    12,939.75x = 418,278,871.46
  5. Step 5: Solve for x
    x = 418,278,871.46/12,939.75
  6. Step 6: Final answer
    x = 32,325.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.