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Finding the Third Proportional to 257,658 and 356,026

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Solution

The third proportional to 257,658 and 356,026 is: 491,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,658 : 356,026 = 356,026 : x
  2. Step 2: Convert to fraction form
    257,658/356,026 = 356,026/x
  3. Step 3: Cross multiply
    257,658x = 356,026 × 356,026
  4. Step 4: Simplify right side
    257,658x = 126,754,512,676
  5. Step 5: Solve for x
    x = 126,754,512,676/257,658
  6. Step 6: Final answer
    x = 491,948.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.