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Finding the Third Proportional to 122.88 and 174.63

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Solution

The third proportional to 122.88 and 174.63 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 174.63 = 174.63 : x
  2. Step 2: Convert to fraction form
    122.88/174.63 = 174.63/x
  3. Step 3: Cross multiply
    122.88x = 174.63 × 174.63
  4. Step 4: Simplify right side
    122.88x = 30,493.89
  5. Step 5: Solve for x
    x = 30,493.89/122.88
  6. Step 6: Final answer
    x = 248.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.