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Finding the Third Proportional to 122.20 and 184.78

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Solution

The third proportional to 122.20 and 184.78 is: 279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 184.78 = 184.78 : x
  2. Step 2: Convert to fraction form
    122.20/184.78 = 184.78/x
  3. Step 3: Cross multiply
    122.20x = 184.78 × 184.78
  4. Step 4: Simplify right side
    122.20x = 34,144.11
  5. Step 5: Solve for x
    x = 34,144.11/122.20
  6. Step 6: Final answer
    x = 279.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.