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Finding the Third Proportional to 87,711.56 and 189,444.75

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Solution

The third proportional to 87,711.56 and 189,444.75 is: 409,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,711.56 : 189,444.75 = 189,444.75 : x
  2. Step 2: Convert to fraction form
    87,711.56/189,444.75 = 189,444.75/x
  3. Step 3: Cross multiply
    87,711.56x = 189,444.75 × 189,444.75
  4. Step 4: Simplify right side
    87,711.56x = 35,889,313,302.56
  5. Step 5: Solve for x
    x = 35,889,313,302.56/87,711.56
  6. Step 6: Final answer
    x = 409,174.26

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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.