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Finding the Third Proportional to 27,728 and 43,572

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Solution

The third proportional to 27,728 and 43,572 is: 68,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 43,572 = 43,572 : x
  2. Step 2: Convert to fraction form
    27,728/43,572 = 43,572/x
  3. Step 3: Cross multiply
    27,728x = 43,572 × 43,572
  4. Step 4: Simplify right side
    27,728x = 1,898,519,184
  5. Step 5: Solve for x
    x = 1,898,519,184/27,728
  6. Step 6: Final answer
    x = 68,469.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.