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Finding the Third Proportional to 122.34 and 183.52

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Solution

The third proportional to 122.34 and 183.52 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 183.52 = 183.52 : x
  2. Step 2: Convert to fraction form
    122.34/183.52 = 183.52/x
  3. Step 3: Cross multiply
    122.34x = 183.52 × 183.52
  4. Step 4: Simplify right side
    122.34x = 33,677.98
  5. Step 5: Solve for x
    x = 33,677.98/122.34
  6. Step 6: Final answer
    x = 275.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.