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Finding the Third Proportional to 86,218 and 188,475

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Solution

The third proportional to 86,218 and 188,475 is: 412,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,218 : 188,475 = 188,475 : x
  2. Step 2: Convert to fraction form
    86,218/188,475 = 188,475/x
  3. Step 3: Cross multiply
    86,218x = 188,475 × 188,475
  4. Step 4: Simplify right side
    86,218x = 35,522,825,625
  5. Step 5: Solve for x
    x = 35,522,825,625/86,218
  6. Step 6: Final answer
    x = 412,011.71

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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.