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Finding the Third Proportional to 189,268 and 284,692

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Solution

The third proportional to 189,268 and 284,692 is: 428,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,268 : 284,692 = 284,692 : x
  2. Step 2: Convert to fraction form
    189,268/284,692 = 284,692/x
  3. Step 3: Cross multiply
    189,268x = 284,692 × 284,692
  4. Step 4: Simplify right side
    189,268x = 81,049,534,864
  5. Step 5: Solve for x
    x = 81,049,534,864/189,268
  6. Step 6: Final answer
    x = 428,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.