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Finding the Third Proportional to 812.85 and 1,150.98

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Solution

The third proportional to 812.85 and 1,150.98 is: 1,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.85 : 1,150.98 = 1,150.98 : x
  2. Step 2: Convert to fraction form
    812.85/1,150.98 = 1,150.98/x
  3. Step 3: Cross multiply
    812.85x = 1,150.98 × 1,150.98
  4. Step 4: Simplify right side
    812.85x = 1,324,756.04
  5. Step 5: Solve for x
    x = 1,324,756.04/812.85
  6. Step 6: Final answer
    x = 1,629.77

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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.