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Finding the Third Proportional to 39,827 and 54,121

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Solution

The third proportional to 39,827 and 54,121 is: 73,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,827 : 54,121 = 54,121 : x
  2. Step 2: Convert to fraction form
    39,827/54,121 = 54,121/x
  3. Step 3: Cross multiply
    39,827x = 54,121 × 54,121
  4. Step 4: Simplify right side
    39,827x = 2,929,082,641
  5. Step 5: Solve for x
    x = 2,929,082,641/39,827
  6. Step 6: Final answer
    x = 73,545.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.