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Finding the Third Proportional to 12,909.38 and 18,178.88

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Solution

The third proportional to 12,909.38 and 18,178.88 is: 25,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.38 : 18,178.88 = 18,178.88 : x
  2. Step 2: Convert to fraction form
    12,909.38/18,178.88 = 18,178.88/x
  3. Step 3: Cross multiply
    12,909.38x = 18,178.88 × 18,178.88
  4. Step 4: Simplify right side
    12,909.38x = 330,471,496.27
  5. Step 5: Solve for x
    x = 330,471,496.27/12,909.38
  6. Step 6: Final answer
    x = 25,599.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.