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Finding the Third Proportional to 6.52 and 12.16

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Solution

The third proportional to 6.52 and 12.16 is: 22.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 12.16 = 12.16 : x
  2. Step 2: Convert to fraction form
    6.52/12.16 = 12.16/x
  3. Step 3: Cross multiply
    6.52x = 12.16 × 12.16
  4. Step 4: Simplify right side
    6.52x = 147.77
  5. Step 5: Solve for x
    x = 147.77/6.52
  6. Step 6: Final answer
    x = 22.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.