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Finding the Third Proportional to 39,868 and 54,169

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Solution

The third proportional to 39,868 and 54,169 is: 73,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,868 : 54,169 = 54,169 : x
  2. Step 2: Convert to fraction form
    39,868/54,169 = 54,169/x
  3. Step 3: Cross multiply
    39,868x = 54,169 × 54,169
  4. Step 4: Simplify right side
    39,868x = 2,934,280,561
  5. Step 5: Solve for x
    x = 2,934,280,561/39,868
  6. Step 6: Final answer
    x = 73,599.89

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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.