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Finding the Third Proportional to 349,957.13 and 511,812

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Solution

The third proportional to 349,957.13 and 511,812 is: 748,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,957.13 : 511,812 = 511,812 : x
  2. Step 2: Convert to fraction form
    349,957.13/511,812 = 511,812/x
  3. Step 3: Cross multiply
    349,957.13x = 511,812 × 511,812
  4. Step 4: Simplify right side
    349,957.13x = 261,951,523,344
  5. Step 5: Solve for x
    x = 261,951,523,344/349,957.13
  6. Step 6: Final answer
    x = 748,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.