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Finding the Third Proportional to 80,412 and 118,279

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Solution

The third proportional to 80,412 and 118,279 is: 173,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412 : 118,279 = 118,279 : x
  2. Step 2: Convert to fraction form
    80,412/118,279 = 118,279/x
  3. Step 3: Cross multiply
    80,412x = 118,279 × 118,279
  4. Step 4: Simplify right side
    80,412x = 13,989,921,841
  5. Step 5: Solve for x
    x = 13,989,921,841/80,412
  6. Step 6: Final answer
    x = 173,978.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.