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Finding the Third Proportional to 812.85 and 1,752.26

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Solution

The third proportional to 812.85 and 1,752.26 is: 3,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.85 : 1,752.26 = 1,752.26 : x
  2. Step 2: Convert to fraction form
    812.85/1,752.26 = 1,752.26/x
  3. Step 3: Cross multiply
    812.85x = 1,752.26 × 1,752.26
  4. Step 4: Simplify right side
    812.85x = 3,070,407.44
  5. Step 5: Solve for x
    x = 3,070,407.44/812.85
  6. Step 6: Final answer
    x = 3,777.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.