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Finding the Third Proportional to 230,731.50 and 511,218

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Solution

The third proportional to 230,731.50 and 511,218 is: 1,132,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,731.50 : 511,218 = 511,218 : x
  2. Step 2: Convert to fraction form
    230,731.50/511,218 = 511,218/x
  3. Step 3: Cross multiply
    230,731.50x = 511,218 × 511,218
  4. Step 4: Simplify right side
    230,731.50x = 261,343,843,524
  5. Step 5: Solve for x
    x = 261,343,843,524/230,731.50
  6. Step 6: Final answer
    x = 1,132,675.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.