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Finding the Third Proportional to 87,774 and 187,212

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Solution

The third proportional to 87,774 and 187,212 is: 399,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,774 : 187,212 = 187,212 : x
  2. Step 2: Convert to fraction form
    87,774/187,212 = 187,212/x
  3. Step 3: Cross multiply
    87,774x = 187,212 × 187,212
  4. Step 4: Simplify right side
    87,774x = 35,048,332,944
  5. Step 5: Solve for x
    x = 35,048,332,944/87,774
  6. Step 6: Final answer
    x = 399,301.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.