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Finding the Third Proportional to 2.65 and 7.21

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Solution

The third proportional to 2.65 and 7.21 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.65 : 7.21 = 7.21 : x
  2. Step 2: Convert to fraction form
    2.65/7.21 = 7.21/x
  3. Step 3: Cross multiply
    2.65x = 7.21 × 7.21
  4. Step 4: Simplify right side
    2.65x = 52.00
  5. Step 5: Solve for x
    x = 52.00/2.65
  6. Step 6: Final answer
    x = 19.60

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.