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Finding the Third Proportional to 91,540.50 and 192,922

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Solution

The third proportional to 91,540.50 and 192,922 is: 406,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,540.50 : 192,922 = 192,922 : x
  2. Step 2: Convert to fraction form
    91,540.50/192,922 = 192,922/x
  3. Step 3: Cross multiply
    91,540.50x = 192,922 × 192,922
  4. Step 4: Simplify right side
    91,540.50x = 37,218,898,084
  5. Step 5: Solve for x
    x = 37,218,898,084/91,540.50
  6. Step 6: Final answer
    x = 406,583.95

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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.