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Finding the Third Proportional to 812.88 and 1,226.69

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Solution

The third proportional to 812.88 and 1,226.69 is: 1,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.88 : 1,226.69 = 1,226.69 : x
  2. Step 2: Convert to fraction form
    812.88/1,226.69 = 1,226.69/x
  3. Step 3: Cross multiply
    812.88x = 1,226.69 × 1,226.69
  4. Step 4: Simplify right side
    812.88x = 1,504,762.22
  5. Step 5: Solve for x
    x = 1,504,762.22/812.88
  6. Step 6: Final answer
    x = 1,851.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.