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Finding the Third Proportional to 69,728 and 106,686

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Solution

The third proportional to 69,728 and 106,686 is: 163,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728 : 106,686 = 106,686 : x
  2. Step 2: Convert to fraction form
    69,728/106,686 = 106,686/x
  3. Step 3: Cross multiply
    69,728x = 106,686 × 106,686
  4. Step 4: Simplify right side
    69,728x = 11,381,902,596
  5. Step 5: Solve for x
    x = 11,381,902,596/69,728
  6. Step 6: Final answer
    x = 163,232.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.