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Finding the Third Proportional to 90,050 and 195,956

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Solution

The third proportional to 90,050 and 195,956 is: 426,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,050 : 195,956 = 195,956 : x
  2. Step 2: Convert to fraction form
    90,050/195,956 = 195,956/x
  3. Step 3: Cross multiply
    90,050x = 195,956 × 195,956
  4. Step 4: Simplify right side
    90,050x = 38,398,753,936
  5. Step 5: Solve for x
    x = 38,398,753,936/90,050
  6. Step 6: Final answer
    x = 426,415.92

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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.