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Finding the Third Proportional to 733.43 and 1,042.56

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Solution

The third proportional to 733.43 and 1,042.56 is: 1,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.43 : 1,042.56 = 1,042.56 : x
  2. Step 2: Convert to fraction form
    733.43/1,042.56 = 1,042.56/x
  3. Step 3: Cross multiply
    733.43x = 1,042.56 × 1,042.56
  4. Step 4: Simplify right side
    733.43x = 1,086,928.42
  5. Step 5: Solve for x
    x = 1,086,928.42/733.43
  6. Step 6: Final answer
    x = 1,481.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.