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Finding the Third Proportional to 168,540 and 389,190

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Solution

The third proportional to 168,540 and 389,190 is: 898,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,540 : 389,190 = 389,190 : x
  2. Step 2: Convert to fraction form
    168,540/389,190 = 389,190/x
  3. Step 3: Cross multiply
    168,540x = 389,190 × 389,190
  4. Step 4: Simplify right side
    168,540x = 151,468,856,100
  5. Step 5: Solve for x
    x = 151,468,856,100/168,540
  6. Step 6: Final answer
    x = 898,711.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.