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Finding the Third Proportional to 80,447 and 171,577

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Solution

The third proportional to 80,447 and 171,577 is: 365,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,447 : 171,577 = 171,577 : x
  2. Step 2: Convert to fraction form
    80,447/171,577 = 171,577/x
  3. Step 3: Cross multiply
    80,447x = 171,577 × 171,577
  4. Step 4: Simplify right side
    80,447x = 29,438,666,929
  5. Step 5: Solve for x
    x = 29,438,666,929/80,447
  6. Step 6: Final answer
    x = 365,938.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.