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Finding the Third Proportional to 80,917.50 and 179,520

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Solution

The third proportional to 80,917.50 and 179,520 is: 398,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,917.50 : 179,520 = 179,520 : x
  2. Step 2: Convert to fraction form
    80,917.50/179,520 = 179,520/x
  3. Step 3: Cross multiply
    80,917.50x = 179,520 × 179,520
  4. Step 4: Simplify right side
    80,917.50x = 32,227,430,400
  5. Step 5: Solve for x
    x = 32,227,430,400/80,917.50
  6. Step 6: Final answer
    x = 398,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.