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Finding the Third Proportional to 122.92 and 164.45

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Solution

The third proportional to 122.92 and 164.45 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 164.45 = 164.45 : x
  2. Step 2: Convert to fraction form
    122.92/164.45 = 164.45/x
  3. Step 3: Cross multiply
    122.92x = 164.45 × 164.45
  4. Step 4: Simplify right side
    122.92x = 27,044.51
  5. Step 5: Solve for x
    x = 27,044.51/122.92
  6. Step 6: Final answer
    x = 220.01

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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.