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Finding the Third Proportional to 18,142 and 25,680

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Solution

The third proportional to 18,142 and 25,680 is: 36,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 25,680 = 25,680 : x
  2. Step 2: Convert to fraction form
    18,142/25,680 = 25,680/x
  3. Step 3: Cross multiply
    18,142x = 25,680 × 25,680
  4. Step 4: Simplify right side
    18,142x = 659,462,400
  5. Step 5: Solve for x
    x = 659,462,400/18,142
  6. Step 6: Final answer
    x = 36,350.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.