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Finding the Third Proportional to 39,493 and 86,368

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Solution

The third proportional to 39,493 and 86,368 is: 188,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,493 : 86,368 = 86,368 : x
  2. Step 2: Convert to fraction form
    39,493/86,368 = 86,368/x
  3. Step 3: Cross multiply
    39,493x = 86,368 × 86,368
  4. Step 4: Simplify right side
    39,493x = 7,459,431,424
  5. Step 5: Solve for x
    x = 7,459,431,424/39,493
  6. Step 6: Final answer
    x = 188,879.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.