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Finding the Third Proportional to 69,728 and 151,544

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Solution

The third proportional to 69,728 and 151,544 is: 329,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728 : 151,544 = 151,544 : x
  2. Step 2: Convert to fraction form
    69,728/151,544 = 151,544/x
  3. Step 3: Cross multiply
    69,728x = 151,544 × 151,544
  4. Step 4: Simplify right side
    69,728x = 22,965,583,936
  5. Step 5: Solve for x
    x = 22,965,583,936/69,728
  6. Step 6: Final answer
    x = 329,359.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.