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Finding the Third Proportional to 87,390 and 186,219

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Solution

The third proportional to 87,390 and 186,219 is: 396,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,390 : 186,219 = 186,219 : x
  2. Step 2: Convert to fraction form
    87,390/186,219 = 186,219/x
  3. Step 3: Cross multiply
    87,390x = 186,219 × 186,219
  4. Step 4: Simplify right side
    87,390x = 34,677,515,961
  5. Step 5: Solve for x
    x = 34,677,515,961/87,390
  6. Step 6: Final answer
    x = 396,813.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.