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Finding the Third Proportional to 87,718 and 189,446

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Solution

The third proportional to 87,718 and 189,446 is: 409,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,718 : 189,446 = 189,446 : x
  2. Step 2: Convert to fraction form
    87,718/189,446 = 189,446/x
  3. Step 3: Cross multiply
    87,718x = 189,446 × 189,446
  4. Step 4: Simplify right side
    87,718x = 35,889,786,916
  5. Step 5: Solve for x
    x = 35,889,786,916/87,718
  6. Step 6: Final answer
    x = 409,149.63

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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.