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Finding the Third Proportional to 39,682 and 87,328

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Solution

The third proportional to 39,682 and 87,328 is: 192,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682 : 87,328 = 87,328 : x
  2. Step 2: Convert to fraction form
    39,682/87,328 = 87,328/x
  3. Step 3: Cross multiply
    39,682x = 87,328 × 87,328
  4. Step 4: Simplify right side
    39,682x = 7,626,179,584
  5. Step 5: Solve for x
    x = 7,626,179,584/39,682
  6. Step 6: Final answer
    x = 192,182.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.