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Finding the Third Proportional to 256,401 and 398,043

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Solution

The third proportional to 256,401 and 398,043 is: 617,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,401 : 398,043 = 398,043 : x
  2. Step 2: Convert to fraction form
    256,401/398,043 = 398,043/x
  3. Step 3: Cross multiply
    256,401x = 398,043 × 398,043
  4. Step 4: Simplify right side
    256,401x = 158,438,229,849
  5. Step 5: Solve for x
    x = 158,438,229,849/256,401
  6. Step 6: Final answer
    x = 617,931.40

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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.