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Finding the Third Proportional to 87,993 and 191,871

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Solution

The third proportional to 87,993 and 191,871 is: 418,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,993 : 191,871 = 191,871 : x
  2. Step 2: Convert to fraction form
    87,993/191,871 = 191,871/x
  3. Step 3: Cross multiply
    87,993x = 191,871 × 191,871
  4. Step 4: Simplify right side
    87,993x = 36,814,480,641
  5. Step 5: Solve for x
    x = 36,814,480,641/87,993
  6. Step 6: Final answer
    x = 418,379.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.