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Finding the Third Proportional to 537.75 and 733.92

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Solution

The third proportional to 537.75 and 733.92 is: 1,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 733.92 = 733.92 : x
  2. Step 2: Convert to fraction form
    537.75/733.92 = 733.92/x
  3. Step 3: Cross multiply
    537.75x = 733.92 × 733.92
  4. Step 4: Simplify right side
    537.75x = 538,641.32
  5. Step 5: Solve for x
    x = 538,641.32/537.75
  6. Step 6: Final answer
    x = 1,001.66

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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.