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Finding the Third Proportional to 87,714 and 189,438

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Solution

The third proportional to 87,714 and 189,438 is: 409,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,714 : 189,438 = 189,438 : x
  2. Step 2: Convert to fraction form
    87,714/189,438 = 189,438/x
  3. Step 3: Cross multiply
    87,714x = 189,438 × 189,438
  4. Step 4: Simplify right side
    87,714x = 35,886,755,844
  5. Step 5: Solve for x
    x = 35,886,755,844/87,714
  6. Step 6: Final answer
    x = 409,133.73

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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.