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Finding the Third Proportional to 18,330 and 27,429

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Solution

The third proportional to 18,330 and 27,429 is: 41,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,330 : 27,429 = 27,429 : x
  2. Step 2: Convert to fraction form
    18,330/27,429 = 27,429/x
  3. Step 3: Cross multiply
    18,330x = 27,429 × 27,429
  4. Step 4: Simplify right side
    18,330x = 752,350,041
  5. Step 5: Solve for x
    x = 752,350,041/18,330
  6. Step 6: Final answer
    x = 41,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.