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Finding the Third Proportional to 39,612 and 86,055

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Solution

The third proportional to 39,612 and 86,055 is: 186,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,612 : 86,055 = 86,055 : x
  2. Step 2: Convert to fraction form
    39,612/86,055 = 86,055/x
  3. Step 3: Cross multiply
    39,612x = 86,055 × 86,055
  4. Step 4: Simplify right side
    39,612x = 7,405,463,025
  5. Step 5: Solve for x
    x = 7,405,463,025/39,612
  6. Step 6: Final answer
    x = 186,949.99

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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.