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Finding the Third Proportional to 38,076 and 54,120

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Solution

The third proportional to 38,076 and 54,120 is: 76,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076 : 54,120 = 54,120 : x
  2. Step 2: Convert to fraction form
    38,076/54,120 = 54,120/x
  3. Step 3: Cross multiply
    38,076x = 54,120 × 54,120
  4. Step 4: Simplify right side
    38,076x = 2,928,974,400
  5. Step 5: Solve for x
    x = 2,928,974,400/38,076
  6. Step 6: Final answer
    x = 76,924.42

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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.