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Finding the Third Proportional to 39,744 and 86,769

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Solution

The third proportional to 39,744 and 86,769 is: 189,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 86,769 = 86,769 : x
  2. Step 2: Convert to fraction form
    39,744/86,769 = 86,769/x
  3. Step 3: Cross multiply
    39,744x = 86,769 × 86,769
  4. Step 4: Simplify right side
    39,744x = 7,528,859,361
  5. Step 5: Solve for x
    x = 7,528,859,361/39,744
  6. Step 6: Final answer
    x = 189,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.