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Finding the Third Proportional to 83,692 and 129,920

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Solution

The third proportional to 83,692 and 129,920 is: 201,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692 : 129,920 = 129,920 : x
  2. Step 2: Convert to fraction form
    83,692/129,920 = 129,920/x
  3. Step 3: Cross multiply
    83,692x = 129,920 × 129,920
  4. Step 4: Simplify right side
    83,692x = 16,879,206,400
  5. Step 5: Solve for x
    x = 16,879,206,400/83,692
  6. Step 6: Final answer
    x = 201,682.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.