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Finding the Third Proportional to 80,584.88 and 189,555.19

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Solution

The third proportional to 80,584.88 and 189,555.19 is: 445,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,584.88 : 189,555.19 = 189,555.19 : x
  2. Step 2: Convert to fraction form
    80,584.88/189,555.19 = 189,555.19/x
  3. Step 3: Cross multiply
    80,584.88x = 189,555.19 × 189,555.19
  4. Step 4: Simplify right side
    80,584.88x = 35,931,169,108.16
  5. Step 5: Solve for x
    x = 35,931,169,108.16/80,584.88
  6. Step 6: Final answer
    x = 445,879.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.