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Finding the Third Proportional to 189,206 and 284,606

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Solution

The third proportional to 189,206 and 284,606 is: 428,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,206 : 284,606 = 284,606 : x
  2. Step 2: Convert to fraction form
    189,206/284,606 = 284,606/x
  3. Step 3: Cross multiply
    189,206x = 284,606 × 284,606
  4. Step 4: Simplify right side
    189,206x = 81,000,575,236
  5. Step 5: Solve for x
    x = 81,000,575,236/189,206
  6. Step 6: Final answer
    x = 428,107.86

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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.