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Finding the Third Proportional to 257,886 and 398,493

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Solution

The third proportional to 257,886 and 398,493 is: 615,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,886 : 398,493 = 398,493 : x
  2. Step 2: Convert to fraction form
    257,886/398,493 = 398,493/x
  3. Step 3: Cross multiply
    257,886x = 398,493 × 398,493
  4. Step 4: Simplify right side
    257,886x = 158,796,671,049
  5. Step 5: Solve for x
    x = 158,796,671,049/257,886
  6. Step 6: Final answer
    x = 615,763.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.