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Finding the Third Proportional to 262,328 and 396,612

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Solution

The third proportional to 262,328 and 396,612 is: 599,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,328 : 396,612 = 396,612 : x
  2. Step 2: Convert to fraction form
    262,328/396,612 = 396,612/x
  3. Step 3: Cross multiply
    262,328x = 396,612 × 396,612
  4. Step 4: Simplify right side
    262,328x = 157,301,078,544
  5. Step 5: Solve for x
    x = 157,301,078,544/262,328
  6. Step 6: Final answer
    x = 599,635.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.