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Finding the Third Proportional to 9.72 and 21.36

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Solution

The third proportional to 9.72 and 21.36 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.72 : 21.36 = 21.36 : x
  2. Step 2: Convert to fraction form
    9.72/21.36 = 21.36/x
  3. Step 3: Cross multiply
    9.72x = 21.36 × 21.36
  4. Step 4: Simplify right side
    9.72x = 456.15
  5. Step 5: Solve for x
    x = 456.15/9.72
  6. Step 6: Final answer
    x = 46.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.