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Finding the Third Proportional to 86,839 and 135,511

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Solution

The third proportional to 86,839 and 135,511 is: 211,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,839 : 135,511 = 135,511 : x
  2. Step 2: Convert to fraction form
    86,839/135,511 = 135,511/x
  3. Step 3: Cross multiply
    86,839x = 135,511 × 135,511
  4. Step 4: Simplify right side
    86,839x = 18,363,231,121
  5. Step 5: Solve for x
    x = 18,363,231,121/86,839
  6. Step 6: Final answer
    x = 211,462.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.