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Finding the Third Proportional to 87,309 and 188,529.50

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Solution

The third proportional to 87,309 and 188,529.50 is: 407,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309 : 188,529.50 = 188,529.50 : x
  2. Step 2: Convert to fraction form
    87,309/188,529.50 = 188,529.50/x
  3. Step 3: Cross multiply
    87,309x = 188,529.50 × 188,529.50
  4. Step 4: Simplify right side
    87,309x = 35,543,372,370.25
  5. Step 5: Solve for x
    x = 35,543,372,370.25/87,309
  6. Step 6: Final answer
    x = 407,098.61

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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.