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Finding the Third Proportional to 4.44 and 9.72

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Solution

The third proportional to 4.44 and 9.72 is: 21.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.44 : 9.72 = 9.72 : x
  2. Step 2: Convert to fraction form
    4.44/9.72 = 9.72/x
  3. Step 3: Cross multiply
    4.44x = 9.72 × 9.72
  4. Step 4: Simplify right side
    4.44x = 94.45
  5. Step 5: Solve for x
    x = 94.45/4.44
  6. Step 6: Final answer
    x = 21.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.