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Finding the Third Proportional to 107.81 and 230.81

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Solution

The third proportional to 107.81 and 230.81 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.81 : 230.81 = 230.81 : x
  2. Step 2: Convert to fraction form
    107.81/230.81 = 230.81/x
  3. Step 3: Cross multiply
    107.81x = 230.81 × 230.81
  4. Step 4: Simplify right side
    107.81x = 53,274.41
  5. Step 5: Solve for x
    x = 53,274.41/107.81
  6. Step 6: Final answer
    x = 494.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.