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Finding the Third Proportional to 138 and 148

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Solution

The third proportional to 138 and 148 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 148 = 148 : x
  2. Step 2: Convert to fraction form
    138/148 = 148/x
  3. Step 3: Cross multiply
    138x = 148 × 148
  4. Step 4: Simplify right side
    138x = 21,904
  5. Step 5: Solve for x
    x = 21,904/138
  6. Step 6: Final answer
    x = 158.72

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.