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Finding the Third Proportional to 50.50 and 109.50

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Solution

The third proportional to 50.50 and 109.50 is: 237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 109.50 = 109.50 : x
  2. Step 2: Convert to fraction form
    50.50/109.50 = 109.50/x
  3. Step 3: Cross multiply
    50.50x = 109.50 × 109.50
  4. Step 4: Simplify right side
    50.50x = 11,990.25
  5. Step 5: Solve for x
    x = 11,990.25/50.50
  6. Step 6: Final answer
    x = 237.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.