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Finding the Third Proportional to 138 and 152.63

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Solution

The third proportional to 138 and 152.63 is: 168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 152.63 = 152.63 : x
  2. Step 2: Convert to fraction form
    138/152.63 = 152.63/x
  3. Step 3: Cross multiply
    138x = 152.63 × 152.63
  4. Step 4: Simplify right side
    138x = 23,294.39
  5. Step 5: Solve for x
    x = 23,294.39/138
  6. Step 6: Final answer
    x = 168.80

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.