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Finding the Third Proportional to 90,291 and 120,795

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Solution

The third proportional to 90,291 and 120,795 is: 161,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,291 : 120,795 = 120,795 : x
  2. Step 2: Convert to fraction form
    90,291/120,795 = 120,795/x
  3. Step 3: Cross multiply
    90,291x = 120,795 × 120,795
  4. Step 4: Simplify right side
    90,291x = 14,591,432,025
  5. Step 5: Solve for x
    x = 14,591,432,025/90,291
  6. Step 6: Final answer
    x = 161,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.