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Finding the Third Proportional to 256,394 and 398,034

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Solution

The third proportional to 256,394 and 398,034 is: 617,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394 : 398,034 = 398,034 : x
  2. Step 2: Convert to fraction form
    256,394/398,034 = 398,034/x
  3. Step 3: Cross multiply
    256,394x = 398,034 × 398,034
  4. Step 4: Simplify right side
    256,394x = 158,431,065,156
  5. Step 5: Solve for x
    x = 158,431,065,156/256,394
  6. Step 6: Final answer
    x = 617,920.33

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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.