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Finding the Third Proportional to 257,802 and 398,367

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Solution

The third proportional to 257,802 and 398,367 is: 615,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,802 : 398,367 = 398,367 : x
  2. Step 2: Convert to fraction form
    257,802/398,367 = 398,367/x
  3. Step 3: Cross multiply
    257,802x = 398,367 × 398,367
  4. Step 4: Simplify right side
    257,802x = 158,696,266,689
  5. Step 5: Solve for x
    x = 158,696,266,689/257,802
  6. Step 6: Final answer
    x = 615,574.23

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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.