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Finding the Third Proportional to 137.84 and 183.78

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Solution

The third proportional to 137.84 and 183.78 is: 245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 183.78 = 183.78 : x
  2. Step 2: Convert to fraction form
    137.84/183.78 = 183.78/x
  3. Step 3: Cross multiply
    137.84x = 183.78 × 183.78
  4. Step 4: Simplify right side
    137.84x = 33,775.55
  5. Step 5: Solve for x
    x = 33,775.55/137.84
  6. Step 6: Final answer
    x = 245.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.