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Finding the Third Proportional to 39,178 and 86,131

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Solution

The third proportional to 39,178 and 86,131 is: 189,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 86,131 = 86,131 : x
  2. Step 2: Convert to fraction form
    39,178/86,131 = 86,131/x
  3. Step 3: Cross multiply
    39,178x = 86,131 × 86,131
  4. Step 4: Simplify right side
    39,178x = 7,418,549,161
  5. Step 5: Solve for x
    x = 7,418,549,161/39,178
  6. Step 6: Final answer
    x = 189,354.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.