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Finding the Third Proportional to 537.73 and 733.27

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Solution

The third proportional to 537.73 and 733.27 is: 999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.73 : 733.27 = 733.27 : x
  2. Step 2: Convert to fraction form
    537.73/733.27 = 733.27/x
  3. Step 3: Cross multiply
    537.73x = 733.27 × 733.27
  4. Step 4: Simplify right side
    537.73x = 537,687.07
  5. Step 5: Solve for x
    x = 537,687.07/537.73
  6. Step 6: Final answer
    x = 999.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.