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Finding the Third Proportional to 87,804 and 189,647

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Solution

The third proportional to 87,804 and 189,647 is: 409,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,804 : 189,647 = 189,647 : x
  2. Step 2: Convert to fraction form
    87,804/189,647 = 189,647/x
  3. Step 3: Cross multiply
    87,804x = 189,647 × 189,647
  4. Step 4: Simplify right side
    87,804x = 35,965,984,609
  5. Step 5: Solve for x
    x = 35,965,984,609/87,804
  6. Step 6: Final answer
    x = 409,616.70

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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.