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Finding the Third Proportional to 733.50 and 780.75

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Solution

The third proportional to 733.50 and 780.75 is: 831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 780.75 = 780.75 : x
  2. Step 2: Convert to fraction form
    733.50/780.75 = 780.75/x
  3. Step 3: Cross multiply
    733.50x = 780.75 × 780.75
  4. Step 4: Simplify right side
    733.50x = 609,570.56
  5. Step 5: Solve for x
    x = 609,570.56/733.50
  6. Step 6: Final answer
    x = 831.04

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.