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Finding the Third Proportional to 168,820 and 257,517

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Solution

The third proportional to 168,820 and 257,517 is: 392,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,820 : 257,517 = 257,517 : x
  2. Step 2: Convert to fraction form
    168,820/257,517 = 257,517/x
  3. Step 3: Cross multiply
    168,820x = 257,517 × 257,517
  4. Step 4: Simplify right side
    168,820x = 66,315,005,289
  5. Step 5: Solve for x
    x = 66,315,005,289/168,820
  6. Step 6: Final answer
    x = 392,814.86

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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.