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Finding the Third Proportional to 159.81 and 226.19

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Solution

The third proportional to 159.81 and 226.19 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.81 : 226.19 = 226.19 : x
  2. Step 2: Convert to fraction form
    159.81/226.19 = 226.19/x
  3. Step 3: Cross multiply
    159.81x = 226.19 × 226.19
  4. Step 4: Simplify right side
    159.81x = 51,160.79
  5. Step 5: Solve for x
    x = 51,160.79/159.81
  6. Step 6: Final answer
    x = 320.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.