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Finding the Third Proportional to 17,872 and 39,080

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Solution

The third proportional to 17,872 and 39,080 is: 85,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872 : 39,080 = 39,080 : x
  2. Step 2: Convert to fraction form
    17,872/39,080 = 39,080/x
  3. Step 3: Cross multiply
    17,872x = 39,080 × 39,080
  4. Step 4: Simplify right side
    17,872x = 1,527,246,400
  5. Step 5: Solve for x
    x = 1,527,246,400/17,872
  6. Step 6: Final answer
    x = 85,454.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.