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Finding the Third Proportional to 80,338.50 and 169,707

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Solution

The third proportional to 80,338.50 and 169,707 is: 358,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,338.50 : 169,707 = 169,707 : x
  2. Step 2: Convert to fraction form
    80,338.50/169,707 = 169,707/x
  3. Step 3: Cross multiply
    80,338.50x = 169,707 × 169,707
  4. Step 4: Simplify right side
    80,338.50x = 28,800,465,849
  5. Step 5: Solve for x
    x = 28,800,465,849/80,338.50
  6. Step 6: Final answer
    x = 358,488.97

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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.