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Finding the Third Proportional to 262,320 and 396,600

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Solution

The third proportional to 262,320 and 396,600 is: 599,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,320 : 396,600 = 396,600 : x
  2. Step 2: Convert to fraction form
    262,320/396,600 = 396,600/x
  3. Step 3: Cross multiply
    262,320x = 396,600 × 396,600
  4. Step 4: Simplify right side
    262,320x = 157,291,560,000
  5. Step 5: Solve for x
    x = 157,291,560,000/262,320
  6. Step 6: Final answer
    x = 599,617.11

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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.