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Finding the Third Proportional to 87,212 and 188,361

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Solution

The third proportional to 87,212 and 188,361 is: 406,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,212 : 188,361 = 188,361 : x
  2. Step 2: Convert to fraction form
    87,212/188,361 = 188,361/x
  3. Step 3: Cross multiply
    87,212x = 188,361 × 188,361
  4. Step 4: Simplify right side
    87,212x = 35,479,866,321
  5. Step 5: Solve for x
    x = 35,479,866,321/87,212
  6. Step 6: Final answer
    x = 406,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.