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Finding the Third Proportional to 87,690 and 189,394

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Solution

The third proportional to 87,690 and 189,394 is: 409,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,690 : 189,394 = 189,394 : x
  2. Step 2: Convert to fraction form
    87,690/189,394 = 189,394/x
  3. Step 3: Cross multiply
    87,690x = 189,394 × 189,394
  4. Step 4: Simplify right side
    87,690x = 35,870,087,236
  5. Step 5: Solve for x
    x = 35,870,087,236/87,690
  6. Step 6: Final answer
    x = 409,055.62

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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.