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Finding the Third Proportional to 27,728 and 42,622

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Solution

The third proportional to 27,728 and 42,622 is: 65,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 42,622 = 42,622 : x
  2. Step 2: Convert to fraction form
    27,728/42,622 = 42,622/x
  3. Step 3: Cross multiply
    27,728x = 42,622 × 42,622
  4. Step 4: Simplify right side
    27,728x = 1,816,634,884
  5. Step 5: Solve for x
    x = 1,816,634,884/27,728
  6. Step 6: Final answer
    x = 65,516.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.