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Finding the Third Proportional to 87,337 and 188,619

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Solution

The third proportional to 87,337 and 188,619 is: 407,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,337 : 188,619 = 188,619 : x
  2. Step 2: Convert to fraction form
    87,337/188,619 = 188,619/x
  3. Step 3: Cross multiply
    87,337x = 188,619 × 188,619
  4. Step 4: Simplify right side
    87,337x = 35,577,127,161
  5. Step 5: Solve for x
    x = 35,577,127,161/87,337
  6. Step 6: Final answer
    x = 407,354.58

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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.