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Finding the Third Proportional to 578.50 and 812.75

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Solution

The third proportional to 578.50 and 812.75 is: 1,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 812.75 = 812.75 : x
  2. Step 2: Convert to fraction form
    578.50/812.75 = 812.75/x
  3. Step 3: Cross multiply
    578.50x = 812.75 × 812.75
  4. Step 4: Simplify right side
    578.50x = 660,562.56
  5. Step 5: Solve for x
    x = 660,562.56/578.50
  6. Step 6: Final answer
    x = 1,141.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.