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Finding the Third Proportional to 189,662 and 284,997

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Solution

The third proportional to 189,662 and 284,997 is: 428,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662 : 284,997 = 284,997 : x
  2. Step 2: Convert to fraction form
    189,662/284,997 = 284,997/x
  3. Step 3: Cross multiply
    189,662x = 284,997 × 284,997
  4. Step 4: Simplify right side
    189,662x = 81,223,290,009
  5. Step 5: Solve for x
    x = 81,223,290,009/189,662
  6. Step 6: Final answer
    x = 428,252.84

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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.