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Finding the Third Proportional to 18,638 and 27,429

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Solution

The third proportional to 18,638 and 27,429 is: 40,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638 : 27,429 = 27,429 : x
  2. Step 2: Convert to fraction form
    18,638/27,429 = 27,429/x
  3. Step 3: Cross multiply
    18,638x = 27,429 × 27,429
  4. Step 4: Simplify right side
    18,638x = 752,350,041
  5. Step 5: Solve for x
    x = 752,350,041/18,638
  6. Step 6: Final answer
    x = 40,366.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.