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Finding the Third Proportional to 87,378.19 and 189,037.69

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Solution

The third proportional to 87,378.19 and 189,037.69 is: 408,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378.19 : 189,037.69 = 189,037.69 : x
  2. Step 2: Convert to fraction form
    87,378.19/189,037.69 = 189,037.69/x
  3. Step 3: Cross multiply
    87,378.19x = 189,037.69 × 189,037.69
  4. Step 4: Simplify right side
    87,378.19x = 35,735,247,295.35
  5. Step 5: Solve for x
    x = 35,735,247,295.35/87,378.19
  6. Step 6: Final answer
    x = 408,972.17

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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.