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Finding the Third Proportional to 36,339 and 80,442

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Solution

The third proportional to 36,339 and 80,442 is: 178,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,339 : 80,442 = 80,442 : x
  2. Step 2: Convert to fraction form
    36,339/80,442 = 80,442/x
  3. Step 3: Cross multiply
    36,339x = 80,442 × 80,442
  4. Step 4: Simplify right side
    36,339x = 6,470,915,364
  5. Step 5: Solve for x
    x = 6,470,915,364/36,339
  6. Step 6: Final answer
    x = 178,070.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.