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Finding the Third Proportional to 15,042 and 31,743

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Solution

The third proportional to 15,042 and 31,743 is: 66,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042 : 31,743 = 31,743 : x
  2. Step 2: Convert to fraction form
    15,042/31,743 = 31,743/x
  3. Step 3: Cross multiply
    15,042x = 31,743 × 31,743
  4. Step 4: Simplify right side
    15,042x = 1,007,618,049
  5. Step 5: Solve for x
    x = 1,007,618,049/15,042
  6. Step 6: Final answer
    x = 66,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.