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Finding the Third Proportional to 68,544 and 103,680

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Solution

The third proportional to 68,544 and 103,680 is: 156,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 103,680 = 103,680 : x
  2. Step 2: Convert to fraction form
    68,544/103,680 = 103,680/x
  3. Step 3: Cross multiply
    68,544x = 103,680 × 103,680
  4. Step 4: Simplify right side
    68,544x = 10,749,542,400
  5. Step 5: Solve for x
    x = 10,749,542,400/68,544
  6. Step 6: Final answer
    x = 156,826.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.