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Finding the Third Proportional to 87,987 and 191,855

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Solution

The third proportional to 87,987 and 191,855 is: 418,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,987 : 191,855 = 191,855 : x
  2. Step 2: Convert to fraction form
    87,987/191,855 = 191,855/x
  3. Step 3: Cross multiply
    87,987x = 191,855 × 191,855
  4. Step 4: Simplify right side
    87,987x = 36,808,341,025
  5. Step 5: Solve for x
    x = 36,808,341,025/87,987
  6. Step 6: Final answer
    x = 418,338.40

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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.