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Finding the Third Proportional to 87,511.75 and 187,019

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Solution

The third proportional to 87,511.75 and 187,019 is: 399,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,511.75 : 187,019 = 187,019 : x
  2. Step 2: Convert to fraction form
    87,511.75/187,019 = 187,019/x
  3. Step 3: Cross multiply
    87,511.75x = 187,019 × 187,019
  4. Step 4: Simplify right side
    87,511.75x = 34,976,106,361
  5. Step 5: Solve for x
    x = 34,976,106,361/87,511.75
  6. Step 6: Final answer
    x = 399,673.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.