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Finding the Third Proportional to 189,221 and 284,622

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Solution

The third proportional to 189,221 and 284,622 is: 428,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,221 : 284,622 = 284,622 : x
  2. Step 2: Convert to fraction form
    189,221/284,622 = 284,622/x
  3. Step 3: Cross multiply
    189,221x = 284,622 × 284,622
  4. Step 4: Simplify right side
    189,221x = 81,009,682,884
  5. Step 5: Solve for x
    x = 81,009,682,884/189,221
  6. Step 6: Final answer
    x = 428,122.05

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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.