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Finding the Third Proportional to 69,138 and 103,266

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Solution

The third proportional to 69,138 and 103,266 is: 154,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138 : 103,266 = 103,266 : x
  2. Step 2: Convert to fraction form
    69,138/103,266 = 103,266/x
  3. Step 3: Cross multiply
    69,138x = 103,266 × 103,266
  4. Step 4: Simplify right side
    69,138x = 10,663,866,756
  5. Step 5: Solve for x
    x = 10,663,866,756/69,138
  6. Step 6: Final answer
    x = 154,240.31

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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.