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Finding the Third Proportional to 256,440 and 398,100

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Solution

The third proportional to 256,440 and 398,100 is: 618,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440 : 398,100 = 398,100 : x
  2. Step 2: Convert to fraction form
    256,440/398,100 = 398,100/x
  3. Step 3: Cross multiply
    256,440x = 398,100 × 398,100
  4. Step 4: Simplify right side
    256,440x = 158,483,610,000
  5. Step 5: Solve for x
    x = 158,483,610,000/256,440
  6. Step 6: Final answer
    x = 618,014.39

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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.