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Finding the Third Proportional to 91,920 and 189,744

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Solution

The third proportional to 91,920 and 189,744 is: 391,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,920 : 189,744 = 189,744 : x
  2. Step 2: Convert to fraction form
    91,920/189,744 = 189,744/x
  3. Step 3: Cross multiply
    91,920x = 189,744 × 189,744
  4. Step 4: Simplify right side
    91,920x = 36,002,785,536
  5. Step 5: Solve for x
    x = 36,002,785,536/91,920
  6. Step 6: Final answer
    x = 391,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.