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Finding the Third Proportional to 121.75 and 236.50

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Solution

The third proportional to 121.75 and 236.50 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 236.50 = 236.50 : x
  2. Step 2: Convert to fraction form
    121.75/236.50 = 236.50/x
  3. Step 3: Cross multiply
    121.75x = 236.50 × 236.50
  4. Step 4: Simplify right side
    121.75x = 55,932.25
  5. Step 5: Solve for x
    x = 55,932.25/121.75
  6. Step 6: Final answer
    x = 459.40

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.