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Finding the Third Proportional to 87,539 and 190,921

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Solution

The third proportional to 87,539 and 190,921 is: 416,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 190,921 = 190,921 : x
  2. Step 2: Convert to fraction form
    87,539/190,921 = 190,921/x
  3. Step 3: Cross multiply
    87,539x = 190,921 × 190,921
  4. Step 4: Simplify right side
    87,539x = 36,450,828,241
  5. Step 5: Solve for x
    x = 36,450,828,241/87,539
  6. Step 6: Final answer
    x = 416,395.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.