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Finding the Third Proportional to 262,872 and 400,812

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Solution

The third proportional to 262,872 and 400,812 is: 611,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,872 : 400,812 = 400,812 : x
  2. Step 2: Convert to fraction form
    262,872/400,812 = 400,812/x
  3. Step 3: Cross multiply
    262,872x = 400,812 × 400,812
  4. Step 4: Simplify right side
    262,872x = 160,650,259,344
  5. Step 5: Solve for x
    x = 160,650,259,344/262,872
  6. Step 6: Final answer
    x = 611,134.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.