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Finding the Third Proportional to 77 and 103

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Solution

The third proportional to 77 and 103 is: 137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 103 = 103 : x
  2. Step 2: Convert to fraction form
    77/103 = 103/x
  3. Step 3: Cross multiply
    77x = 103 × 103
  4. Step 4: Simplify right side
    77x = 10,609
  5. Step 5: Solve for x
    x = 10,609/77
  6. Step 6: Final answer
    x = 137.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.