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Finding the Third Proportional to 38,454 and 54,126

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Solution

The third proportional to 38,454 and 54,126 is: 76,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 54,126 = 54,126 : x
  2. Step 2: Convert to fraction form
    38,454/54,126 = 54,126/x
  3. Step 3: Cross multiply
    38,454x = 54,126 × 54,126
  4. Step 4: Simplify right side
    38,454x = 2,929,623,876
  5. Step 5: Solve for x
    x = 2,929,623,876/38,454
  6. Step 6: Final answer
    x = 76,185.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.