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Finding the Third Proportional to 87,409 and 188,642

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Solution

The third proportional to 87,409 and 188,642 is: 407,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,409 : 188,642 = 188,642 : x
  2. Step 2: Convert to fraction form
    87,409/188,642 = 188,642/x
  3. Step 3: Cross multiply
    87,409x = 188,642 × 188,642
  4. Step 4: Simplify right side
    87,409x = 35,585,804,164
  5. Step 5: Solve for x
    x = 35,585,804,164/87,409
  6. Step 6: Final answer
    x = 407,118.31

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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.