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Finding the Third Proportional to 199,057.50 and 421,443

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Solution

The third proportional to 199,057.50 and 421,443 is: 892,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,057.50 : 421,443 = 421,443 : x
  2. Step 2: Convert to fraction form
    199,057.50/421,443 = 421,443/x
  3. Step 3: Cross multiply
    199,057.50x = 421,443 × 421,443
  4. Step 4: Simplify right side
    199,057.50x = 177,614,202,249
  5. Step 5: Solve for x
    x = 177,614,202,249/199,057.50
  6. Step 6: Final answer
    x = 892,275.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.