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Finding the Third Proportional to 39,511 and 86,122

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Solution

The third proportional to 39,511 and 86,122 is: 187,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,511 : 86,122 = 86,122 : x
  2. Step 2: Convert to fraction form
    39,511/86,122 = 86,122/x
  3. Step 3: Cross multiply
    39,511x = 86,122 × 86,122
  4. Step 4: Simplify right side
    39,511x = 7,416,998,884
  5. Step 5: Solve for x
    x = 7,416,998,884/39,511
  6. Step 6: Final answer
    x = 187,719.85

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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.