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Finding the Third Proportional to 96.19 and 164.32

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Solution

The third proportional to 96.19 and 164.32 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 164.32 = 164.32 : x
  2. Step 2: Convert to fraction form
    96.19/164.32 = 164.32/x
  3. Step 3: Cross multiply
    96.19x = 164.32 × 164.32
  4. Step 4: Simplify right side
    96.19x = 27,001.17
  5. Step 5: Solve for x
    x = 27,001.17/96.19
  6. Step 6: Final answer
    x = 280.71

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.