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Finding the Third Proportional to 40,624 and 54,120

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Solution

The third proportional to 40,624 and 54,120 is: 72,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,624 : 54,120 = 54,120 : x
  2. Step 2: Convert to fraction form
    40,624/54,120 = 54,120/x
  3. Step 3: Cross multiply
    40,624x = 54,120 × 54,120
  4. Step 4: Simplify right side
    40,624x = 2,928,974,400
  5. Step 5: Solve for x
    x = 2,928,974,400/40,624
  6. Step 6: Final answer
    x = 72,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.