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Finding the Third Proportional to 9.78 and 14.88

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Solution

The third proportional to 9.78 and 14.88 is: 22.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.78 : 14.88 = 14.88 : x
  2. Step 2: Convert to fraction form
    9.78/14.88 = 14.88/x
  3. Step 3: Cross multiply
    9.78x = 14.88 × 14.88
  4. Step 4: Simplify right side
    9.78x = 221.27
  5. Step 5: Solve for x
    x = 221.27/9.78
  6. Step 6: Final answer
    x = 22.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.