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Finding the Third Proportional to 87,276 and 188,481

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Solution

The third proportional to 87,276 and 188,481 is: 407,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,276 : 188,481 = 188,481 : x
  2. Step 2: Convert to fraction form
    87,276/188,481 = 188,481/x
  3. Step 3: Cross multiply
    87,276x = 188,481 × 188,481
  4. Step 4: Simplify right side
    87,276x = 35,525,087,361
  5. Step 5: Solve for x
    x = 35,525,087,361/87,276
  6. Step 6: Final answer
    x = 407,043.03

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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.