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Finding the Third Proportional to 2.29 and 3.66

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Solution

The third proportional to 2.29 and 3.66 is: 5.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 3.66 = 3.66 : x
  2. Step 2: Convert to fraction form
    2.29/3.66 = 3.66/x
  3. Step 3: Cross multiply
    2.29x = 3.66 × 3.66
  4. Step 4: Simplify right side
    2.29x = 13.40
  5. Step 5: Solve for x
    x = 13.40/2.29
  6. Step 6: Final answer
    x = 5.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.