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Finding the Third Proportional to 9.70 and 14.24

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Solution

The third proportional to 9.70 and 14.24 is: 20.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 14.24 = 14.24 : x
  2. Step 2: Convert to fraction form
    9.70/14.24 = 14.24/x
  3. Step 3: Cross multiply
    9.70x = 14.24 × 14.24
  4. Step 4: Simplify right side
    9.70x = 202.73
  5. Step 5: Solve for x
    x = 202.73/9.70
  6. Step 6: Final answer
    x = 20.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.