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Finding the Third Proportional to 7.05 and 15.21

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Solution

The third proportional to 7.05 and 15.21 is: 32.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.05 : 15.21 = 15.21 : x
  2. Step 2: Convert to fraction form
    7.05/15.21 = 15.21/x
  3. Step 3: Cross multiply
    7.05x = 15.21 × 15.21
  4. Step 4: Simplify right side
    7.05x = 231.29
  5. Step 5: Solve for x
    x = 231.29/7.05
  6. Step 6: Final answer
    x = 32.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.