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Finding the Third Proportional to 39,977 and 86,866

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Solution

The third proportional to 39,977 and 86,866 is: 188,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977 : 86,866 = 86,866 : x
  2. Step 2: Convert to fraction form
    39,977/86,866 = 86,866/x
  3. Step 3: Cross multiply
    39,977x = 86,866 × 86,866
  4. Step 4: Simplify right side
    39,977x = 7,545,701,956
  5. Step 5: Solve for x
    x = 7,545,701,956/39,977
  6. Step 6: Final answer
    x = 188,751.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.