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Finding the Third Proportional to 9.64 and 13.47

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Solution

The third proportional to 9.64 and 13.47 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.64 : 13.47 = 13.47 : x
  2. Step 2: Convert to fraction form
    9.64/13.47 = 13.47/x
  3. Step 3: Cross multiply
    9.64x = 13.47 × 13.47
  4. Step 4: Simplify right side
    9.64x = 181.43
  5. Step 5: Solve for x
    x = 181.43/9.64
  6. Step 6: Final answer
    x = 18.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.