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Finding the Third Proportional to 90,939 and 214,366

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Solution

The third proportional to 90,939 and 214,366 is: 505,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,939 : 214,366 = 214,366 : x
  2. Step 2: Convert to fraction form
    90,939/214,366 = 214,366/x
  3. Step 3: Cross multiply
    90,939x = 214,366 × 214,366
  4. Step 4: Simplify right side
    90,939x = 45,952,781,956
  5. Step 5: Solve for x
    x = 45,952,781,956/90,939
  6. Step 6: Final answer
    x = 505,314.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.