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Finding the Third Proportional to 168,831 and 257,535

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Solution

The third proportional to 168,831 and 257,535 is: 392,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,831 : 257,535 = 257,535 : x
  2. Step 2: Convert to fraction form
    168,831/257,535 = 257,535/x
  3. Step 3: Cross multiply
    168,831x = 257,535 × 257,535
  4. Step 4: Simplify right side
    168,831x = 66,324,276,225
  5. Step 5: Solve for x
    x = 66,324,276,225/168,831
  6. Step 6: Final answer
    x = 392,844.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.