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Finding the Third Proportional to 39,876 and 86,358

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Solution

The third proportional to 39,876 and 86,358 is: 187,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876 : 86,358 = 86,358 : x
  2. Step 2: Convert to fraction form
    39,876/86,358 = 86,358/x
  3. Step 3: Cross multiply
    39,876x = 86,358 × 86,358
  4. Step 4: Simplify right side
    39,876x = 7,457,704,164
  5. Step 5: Solve for x
    x = 7,457,704,164/39,876
  6. Step 6: Final answer
    x = 187,022.37

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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.