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Finding the Third Proportional to 5.22 and 8.07

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Solution

The third proportional to 5.22 and 8.07 is: 12.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 8.07 = 8.07 : x
  2. Step 2: Convert to fraction form
    5.22/8.07 = 8.07/x
  3. Step 3: Cross multiply
    5.22x = 8.07 × 8.07
  4. Step 4: Simplify right side
    5.22x = 65.10
  5. Step 5: Solve for x
    x = 65.10/5.22
  6. Step 6: Final answer
    x = 12.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.