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Finding the Third Proportional to 63,744 and 91,680

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Solution

The third proportional to 63,744 and 91,680 is: 131,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 91,680 = 91,680 : x
  2. Step 2: Convert to fraction form
    63,744/91,680 = 91,680/x
  3. Step 3: Cross multiply
    63,744x = 91,680 × 91,680
  4. Step 4: Simplify right side
    63,744x = 8,405,222,400
  5. Step 5: Solve for x
    x = 8,405,222,400/63,744
  6. Step 6: Final answer
    x = 131,859.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.