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Finding the Third Proportional to 87,505.88 and 189,021.94

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Solution

The third proportional to 87,505.88 and 189,021.94 is: 408,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,505.88 : 189,021.94 = 189,021.94 : x
  2. Step 2: Convert to fraction form
    87,505.88/189,021.94 = 189,021.94/x
  3. Step 3: Cross multiply
    87,505.88x = 189,021.94 × 189,021.94
  4. Step 4: Simplify right side
    87,505.88x = 35,729,292,856.25
  5. Step 5: Solve for x
    x = 35,729,292,856.25/87,505.88
  6. Step 6: Final answer
    x = 408,307.36

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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.