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Finding the Third Proportional to 9,892 and 15,918

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Solution

The third proportional to 9,892 and 15,918 is: 25,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892 : 15,918 = 15,918 : x
  2. Step 2: Convert to fraction form
    9,892/15,918 = 15,918/x
  3. Step 3: Cross multiply
    9,892x = 15,918 × 15,918
  4. Step 4: Simplify right side
    9,892x = 253,382,724
  5. Step 5: Solve for x
    x = 253,382,724/9,892
  6. Step 6: Final answer
    x = 25,614.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.