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Finding the Third Proportional to 239,812 and 351,941

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Solution

The third proportional to 239,812 and 351,941 is: 516,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,812 : 351,941 = 351,941 : x
  2. Step 2: Convert to fraction form
    239,812/351,941 = 351,941/x
  3. Step 3: Cross multiply
    239,812x = 351,941 × 351,941
  4. Step 4: Simplify right side
    239,812x = 123,862,467,481
  5. Step 5: Solve for x
    x = 123,862,467,481/239,812
  6. Step 6: Final answer
    x = 516,498.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.