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Finding the Third Proportional to 87,702 and 189,418

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Solution

The third proportional to 87,702 and 189,418 is: 409,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,702 : 189,418 = 189,418 : x
  2. Step 2: Convert to fraction form
    87,702/189,418 = 189,418/x
  3. Step 3: Cross multiply
    87,702x = 189,418 × 189,418
  4. Step 4: Simplify right side
    87,702x = 35,879,178,724
  5. Step 5: Solve for x
    x = 35,879,178,724/87,702
  6. Step 6: Final answer
    x = 409,103.31

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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.