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Finding the Third Proportional to 121.64 and 174.35

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Solution

The third proportional to 121.64 and 174.35 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.64 : 174.35 = 174.35 : x
  2. Step 2: Convert to fraction form
    121.64/174.35 = 174.35/x
  3. Step 3: Cross multiply
    121.64x = 174.35 × 174.35
  4. Step 4: Simplify right side
    121.64x = 30,396.75
  5. Step 5: Solve for x
    x = 30,396.75/121.64
  6. Step 6: Final answer
    x = 249.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.