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Finding the Third Proportional to 256,408 and 398,058

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Solution

The third proportional to 256,408 and 398,058 is: 617,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,408 : 398,058 = 398,058 : x
  2. Step 2: Convert to fraction form
    256,408/398,058 = 398,058/x
  3. Step 3: Cross multiply
    256,408x = 398,058 × 398,058
  4. Step 4: Simplify right side
    256,408x = 158,450,171,364
  5. Step 5: Solve for x
    x = 158,450,171,364/256,408
  6. Step 6: Final answer
    x = 617,961.11

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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.