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Finding the Third Proportional to 256,403 and 398,046

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Solution

The third proportional to 256,403 and 398,046 is: 617,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403 : 398,046 = 398,046 : x
  2. Step 2: Convert to fraction form
    256,403/398,046 = 398,046/x
  3. Step 3: Cross multiply
    256,403x = 398,046 × 398,046
  4. Step 4: Simplify right side
    256,403x = 158,440,618,116
  5. Step 5: Solve for x
    x = 158,440,618,116/256,403
  6. Step 6: Final answer
    x = 617,935.90

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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.