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Finding the Third Proportional to 5.78 and 8.22

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Solution

The third proportional to 5.78 and 8.22 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 8.22 = 8.22 : x
  2. Step 2: Convert to fraction form
    5.78/8.22 = 8.22/x
  3. Step 3: Cross multiply
    5.78x = 8.22 × 8.22
  4. Step 4: Simplify right side
    5.78x = 67.56
  5. Step 5: Solve for x
    x = 67.56/5.78
  6. Step 6: Final answer
    x = 11.68

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1.5x scale

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.