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Finding the Third Proportional to 38,928 and 85,632

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Solution

The third proportional to 38,928 and 85,632 is: 188,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,928 : 85,632 = 85,632 : x
  2. Step 2: Convert to fraction form
    38,928/85,632 = 85,632/x
  3. Step 3: Cross multiply
    38,928x = 85,632 × 85,632
  4. Step 4: Simplify right side
    38,928x = 7,332,839,424
  5. Step 5: Solve for x
    x = 7,332,839,424/38,928
  6. Step 6: Final answer
    x = 188,369.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.