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Finding the Third Proportional to 18,743 and 28,317

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Solution

The third proportional to 18,743 and 28,317 is: 42,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,743 : 28,317 = 28,317 : x
  2. Step 2: Convert to fraction form
    18,743/28,317 = 28,317/x
  3. Step 3: Cross multiply
    18,743x = 28,317 × 28,317
  4. Step 4: Simplify right side
    18,743x = 801,852,489
  5. Step 5: Solve for x
    x = 801,852,489/18,743
  6. Step 6: Final answer
    x = 42,781.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.