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Finding the Third Proportional to 123 and 201.38

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Solution

The third proportional to 123 and 201.38 is: 329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 201.38 = 201.38 : x
  2. Step 2: Convert to fraction form
    123/201.38 = 201.38/x
  3. Step 3: Cross multiply
    123x = 201.38 × 201.38
  4. Step 4: Simplify right side
    123x = 40,551.89
  5. Step 5: Solve for x
    x = 40,551.89/123
  6. Step 6: Final answer
    x = 329.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.