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Finding the Third Proportional to 74.39 and 122.41

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Solution

The third proportional to 74.39 and 122.41 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 122.41 = 122.41 : x
  2. Step 2: Convert to fraction form
    74.39/122.41 = 122.41/x
  3. Step 3: Cross multiply
    74.39x = 122.41 × 122.41
  4. Step 4: Simplify right side
    74.39x = 14,985.20
  5. Step 5: Solve for x
    x = 14,985.20/74.39
  6. Step 6: Final answer
    x = 201.44

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.