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Finding the Third Proportional to 89,728 and 211,744

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Solution

The third proportional to 89,728 and 211,744 is: 499,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728 : 211,744 = 211,744 : x
  2. Step 2: Convert to fraction form
    89,728/211,744 = 211,744/x
  3. Step 3: Cross multiply
    89,728x = 211,744 × 211,744
  4. Step 4: Simplify right side
    89,728x = 44,835,521,536
  5. Step 5: Solve for x
    x = 44,835,521,536/89,728
  6. Step 6: Final answer
    x = 499,682.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.