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Finding the Third Proportional to 256,443 and 398,108

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Solution

The third proportional to 256,443 and 398,108 is: 618,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,443 : 398,108 = 398,108 : x
  2. Step 2: Convert to fraction form
    256,443/398,108 = 398,108/x
  3. Step 3: Cross multiply
    256,443x = 398,108 × 398,108
  4. Step 4: Simplify right side
    256,443x = 158,489,979,664
  5. Step 5: Solve for x
    x = 158,489,979,664/256,443
  6. Step 6: Final answer
    x = 618,032.00

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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.