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Finding the Third Proportional to 15,874 and 17,314

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Solution

The third proportional to 15,874 and 17,314 is: 18,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874 : 17,314 = 17,314 : x
  2. Step 2: Convert to fraction form
    15,874/17,314 = 17,314/x
  3. Step 3: Cross multiply
    15,874x = 17,314 × 17,314
  4. Step 4: Simplify right side
    15,874x = 299,774,596
  5. Step 5: Solve for x
    x = 299,774,596/15,874
  6. Step 6: Final answer
    x = 18,884.63

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.