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Finding the Third Proportional to 80,372.25 and 169,765.88

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Solution

The third proportional to 80,372.25 and 169,765.88 is: 358,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,372.25 : 169,765.88 = 169,765.88 : x
  2. Step 2: Convert to fraction form
    80,372.25/169,765.88 = 169,765.88/x
  3. Step 3: Cross multiply
    80,372.25x = 169,765.88 × 169,765.88
  4. Step 4: Simplify right side
    80,372.25x = 28,820,452,314.52
  5. Step 5: Solve for x
    x = 28,820,452,314.52/80,372.25
  6. Step 6: Final answer
    x = 358,587.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.