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Finding the Third Proportional to 256,440 and 398,106

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Solution

The third proportional to 256,440 and 398,106 is: 618,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440 : 398,106 = 398,106 : x
  2. Step 2: Convert to fraction form
    256,440/398,106 = 398,106/x
  3. Step 3: Cross multiply
    256,440x = 398,106 × 398,106
  4. Step 4: Simplify right side
    256,440x = 158,488,387,236
  5. Step 5: Solve for x
    x = 158,488,387,236/256,440
  6. Step 6: Final answer
    x = 618,033.02

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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.