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Finding the Third Proportional to 4.09 and 6.24

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Solution

The third proportional to 4.09 and 6.24 is: 9.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.09 : 6.24 = 6.24 : x
  2. Step 2: Convert to fraction form
    4.09/6.24 = 6.24/x
  3. Step 3: Cross multiply
    4.09x = 6.24 × 6.24
  4. Step 4: Simplify right side
    4.09x = 38.98
  5. Step 5: Solve for x
    x = 38.98/4.09
  6. Step 6: Final answer
    x = 9.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.