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Finding the Third Proportional to 87,643.69 and 191,872.13

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Solution

The third proportional to 87,643.69 and 191,872.13 is: 420,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643.69 : 191,872.13 = 191,872.13 : x
  2. Step 2: Convert to fraction form
    87,643.69/191,872.13 = 191,872.13/x
  3. Step 3: Cross multiply
    87,643.69x = 191,872.13 × 191,872.13
  4. Step 4: Simplify right side
    87,643.69x = 36,814,912,352.02
  5. Step 5: Solve for x
    x = 36,814,912,352.02/87,643.69
  6. Step 6: Final answer
    x = 420,052.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.