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Finding the Third Proportional to 122.98 and 164.95

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Solution

The third proportional to 122.98 and 164.95 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 164.95 = 164.95 : x
  2. Step 2: Convert to fraction form
    122.98/164.95 = 164.95/x
  3. Step 3: Cross multiply
    122.98x = 164.95 × 164.95
  4. Step 4: Simplify right side
    122.98x = 27,209.53
  5. Step 5: Solve for x
    x = 27,209.53/122.98
  6. Step 6: Final answer
    x = 221.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.