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Finding the Third Proportional to 87,321 and 189,762

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Solution

The third proportional to 87,321 and 189,762 is: 412,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321 : 189,762 = 189,762 : x
  2. Step 2: Convert to fraction form
    87,321/189,762 = 189,762/x
  3. Step 3: Cross multiply
    87,321x = 189,762 × 189,762
  4. Step 4: Simplify right side
    87,321x = 36,009,616,644
  5. Step 5: Solve for x
    x = 36,009,616,644/87,321
  6. Step 6: Final answer
    x = 412,382.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.