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Finding the Third Proportional to 189,834.75 and 401,015.25

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Solution

The third proportional to 189,834.75 and 401,015.25 is: 847,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,834.75 : 401,015.25 = 401,015.25 : x
  2. Step 2: Convert to fraction form
    189,834.75/401,015.25 = 401,015.25/x
  3. Step 3: Cross multiply
    189,834.75x = 401,015.25 × 401,015.25
  4. Step 4: Simplify right side
    189,834.75x = 160,813,230,732.56
  5. Step 5: Solve for x
    x = 160,813,230,732.56/189,834.75
  6. Step 6: Final answer
    x = 847,122.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.