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Finding the Third Proportional to 87,576 and 189,696

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Solution

The third proportional to 87,576 and 189,696 is: 410,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,576 : 189,696 = 189,696 : x
  2. Step 2: Convert to fraction form
    87,576/189,696 = 189,696/x
  3. Step 3: Cross multiply
    87,576x = 189,696 × 189,696
  4. Step 4: Simplify right side
    87,576x = 35,984,572,416
  5. Step 5: Solve for x
    x = 35,984,572,416/87,576
  6. Step 6: Final answer
    x = 410,895.36

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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.