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Finding the Third Proportional to 89,380 and 121,722

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Solution

The third proportional to 89,380 and 121,722 is: 165,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,380 : 121,722 = 121,722 : x
  2. Step 2: Convert to fraction form
    89,380/121,722 = 121,722/x
  3. Step 3: Cross multiply
    89,380x = 121,722 × 121,722
  4. Step 4: Simplify right side
    89,380x = 14,816,245,284
  5. Step 5: Solve for x
    x = 14,816,245,284/89,380
  6. Step 6: Final answer
    x = 165,766.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.