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Finding the Third Proportional to 38,729 and 54,538

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Solution

The third proportional to 38,729 and 54,538 is: 76,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,729 : 54,538 = 54,538 : x
  2. Step 2: Convert to fraction form
    38,729/54,538 = 54,538/x
  3. Step 3: Cross multiply
    38,729x = 54,538 × 54,538
  4. Step 4: Simplify right side
    38,729x = 2,974,393,444
  5. Step 5: Solve for x
    x = 2,974,393,444/38,729
  6. Step 6: Final answer
    x = 76,800.16

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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.