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Finding the Third Proportional to 90,015 and 193,880

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Solution

The third proportional to 90,015 and 193,880 is: 417,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,015 : 193,880 = 193,880 : x
  2. Step 2: Convert to fraction form
    90,015/193,880 = 193,880/x
  3. Step 3: Cross multiply
    90,015x = 193,880 × 193,880
  4. Step 4: Simplify right side
    90,015x = 37,589,454,400
  5. Step 5: Solve for x
    x = 37,589,454,400/90,015
  6. Step 6: Final answer
    x = 417,591.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.