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Finding the Third Proportional to 107.89 and 230.98

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Solution

The third proportional to 107.89 and 230.98 is: 494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 230.98 = 230.98 : x
  2. Step 2: Convert to fraction form
    107.89/230.98 = 230.98/x
  3. Step 3: Cross multiply
    107.89x = 230.98 × 230.98
  4. Step 4: Simplify right side
    107.89x = 53,350.17
  5. Step 5: Solve for x
    x = 53,350.17/107.89
  6. Step 6: Final answer
    x = 494.47

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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.