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Finding the Third Proportional to 138 and 199.50

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Solution

The third proportional to 138 and 199.50 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 199.50 = 199.50 : x
  2. Step 2: Convert to fraction form
    138/199.50 = 199.50/x
  3. Step 3: Cross multiply
    138x = 199.50 × 199.50
  4. Step 4: Simplify right side
    138x = 39,800.25
  5. Step 5: Solve for x
    x = 39,800.25/138
  6. Step 6: Final answer
    x = 288.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.