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Finding the Third Proportional to 87,643.65 and 189,299.91

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Solution

The third proportional to 87,643.65 and 189,299.91 is: 408,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643.65 : 189,299.91 = 189,299.91 : x
  2. Step 2: Convert to fraction form
    87,643.65/189,299.91 = 189,299.91/x
  3. Step 3: Cross multiply
    87,643.65x = 189,299.91 × 189,299.91
  4. Step 4: Simplify right side
    87,643.65x = 35,834,454,783.56
  5. Step 5: Solve for x
    x = 35,834,454,783.56/87,643.65
  6. Step 6: Final answer
    x = 408,865.38

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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.