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Finding the Third Proportional to 256,606 and 398,298

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Solution

The third proportional to 256,606 and 398,298 is: 618,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,606 : 398,298 = 398,298 : x
  2. Step 2: Convert to fraction form
    256,606/398,298 = 398,298/x
  3. Step 3: Cross multiply
    256,606x = 398,298 × 398,298
  4. Step 4: Simplify right side
    256,606x = 158,641,296,804
  5. Step 5: Solve for x
    x = 158,641,296,804/256,606
  6. Step 6: Final answer
    x = 618,229.10

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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.