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Finding the Third Proportional to 83,379.38 and 128,964.66

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Solution

The third proportional to 83,379.38 and 128,964.66 is: 199,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.38 : 128,964.66 = 128,964.66 : x
  2. Step 2: Convert to fraction form
    83,379.38/128,964.66 = 128,964.66/x
  3. Step 3: Cross multiply
    83,379.38x = 128,964.66 × 128,964.66
  4. Step 4: Simplify right side
    83,379.38x = 16,631,882,561.68
  5. Step 5: Solve for x
    x = 16,631,882,561.68/83,379.38
  6. Step 6: Final answer
    x = 199,472.38

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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.