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Finding the Third Proportional to 2.16 and 2.91

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Solution

The third proportional to 2.16 and 2.91 is: 3.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.16 : 2.91 = 2.91 : x
  2. Step 2: Convert to fraction form
    2.16/2.91 = 2.91/x
  3. Step 3: Cross multiply
    2.16x = 2.91 × 2.91
  4. Step 4: Simplify right side
    2.16x = 8.45
  5. Step 5: Solve for x
    x = 8.45/2.16
  6. Step 6: Final answer
    x = 3.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.