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Finding the Third Proportional to 80,420 and 171,883.75

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Solution

The third proportional to 80,420 and 171,883.75 is: 367,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420 : 171,883.75 = 171,883.75 : x
  2. Step 2: Convert to fraction form
    80,420/171,883.75 = 171,883.75/x
  3. Step 3: Cross multiply
    80,420x = 171,883.75 × 171,883.75
  4. Step 4: Simplify right side
    80,420x = 29,544,023,514.06
  5. Step 5: Solve for x
    x = 29,544,023,514.06/80,420
  6. Step 6: Final answer
    x = 367,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.