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Finding the Third Proportional to 109.87 and 232.80

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Solution

The third proportional to 109.87 and 232.80 is: 493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.87 : 232.80 = 232.80 : x
  2. Step 2: Convert to fraction form
    109.87/232.80 = 232.80/x
  3. Step 3: Cross multiply
    109.87x = 232.80 × 232.80
  4. Step 4: Simplify right side
    109.87x = 54,193.93
  5. Step 5: Solve for x
    x = 54,193.93/109.87
  6. Step 6: Final answer
    x = 493.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.