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Finding the Third Proportional to 812.44 and 1,241.72

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Solution

The third proportional to 812.44 and 1,241.72 is: 1,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.44 : 1,241.72 = 1,241.72 : x
  2. Step 2: Convert to fraction form
    812.44/1,241.72 = 1,241.72/x
  3. Step 3: Cross multiply
    812.44x = 1,241.72 × 1,241.72
  4. Step 4: Simplify right side
    812.44x = 1,541,865.45
  5. Step 5: Solve for x
    x = 1,541,865.45/812.44
  6. Step 6: Final answer
    x = 1,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.