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Finding the Third Proportional to 7.29 and 15.45

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Solution

The third proportional to 7.29 and 15.45 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.29 : 15.45 = 15.45 : x
  2. Step 2: Convert to fraction form
    7.29/15.45 = 15.45/x
  3. Step 3: Cross multiply
    7.29x = 15.45 × 15.45
  4. Step 4: Simplify right side
    7.29x = 238.75
  5. Step 5: Solve for x
    x = 238.75/7.29
  6. Step 6: Final answer
    x = 32.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.