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Finding the Third Proportional to 69.19 and 103.36

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Solution

The third proportional to 69.19 and 103.36 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 103.36 = 103.36 : x
  2. Step 2: Convert to fraction form
    69.19/103.36 = 103.36/x
  3. Step 3: Cross multiply
    69.19x = 103.36 × 103.36
  4. Step 4: Simplify right side
    69.19x = 10,683.16
  5. Step 5: Solve for x
    x = 10,683.16/69.19
  6. Step 6: Final answer
    x = 154.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.