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Finding the Third Proportional to 256,406 and 398,055

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Solution

The third proportional to 256,406 and 398,055 is: 617,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406 : 398,055 = 398,055 : x
  2. Step 2: Convert to fraction form
    256,406/398,055 = 398,055/x
  3. Step 3: Cross multiply
    256,406x = 398,055 × 398,055
  4. Step 4: Simplify right side
    256,406x = 158,447,783,025
  5. Step 5: Solve for x
    x = 158,447,783,025/256,406
  6. Step 6: Final answer
    x = 617,956.61

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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.