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Finding the Third Proportional to 80,302 and 172,939

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Solution

The third proportional to 80,302 and 172,939 is: 372,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302 : 172,939 = 172,939 : x
  2. Step 2: Convert to fraction form
    80,302/172,939 = 172,939/x
  3. Step 3: Cross multiply
    80,302x = 172,939 × 172,939
  4. Step 4: Simplify right side
    80,302x = 29,907,897,721
  5. Step 5: Solve for x
    x = 29,907,897,721/80,302
  6. Step 6: Final answer
    x = 372,442.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.