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Finding the Third Proportional to 38,289 and 54,453

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Solution

The third proportional to 38,289 and 54,453 is: 77,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289 : 54,453 = 54,453 : x
  2. Step 2: Convert to fraction form
    38,289/54,453 = 54,453/x
  3. Step 3: Cross multiply
    38,289x = 54,453 × 54,453
  4. Step 4: Simplify right side
    38,289x = 2,965,129,209
  5. Step 5: Solve for x
    x = 2,965,129,209/38,289
  6. Step 6: Final answer
    x = 77,440.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.