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Finding the Third Proportional to 257,940 and 398,574

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Solution

The third proportional to 257,940 and 398,574 is: 615,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,940 : 398,574 = 398,574 : x
  2. Step 2: Convert to fraction form
    257,940/398,574 = 398,574/x
  3. Step 3: Cross multiply
    257,940x = 398,574 × 398,574
  4. Step 4: Simplify right side
    257,940x = 158,861,233,476
  5. Step 5: Solve for x
    x = 158,861,233,476/257,940
  6. Step 6: Final answer
    x = 615,884.44

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Why These Related Problems?

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