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Finding the Third Proportional to 189,567 and 284,823

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Solution

The third proportional to 189,567 and 284,823 is: 427,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,567 : 284,823 = 284,823 : x
  2. Step 2: Convert to fraction form
    189,567/284,823 = 284,823/x
  3. Step 3: Cross multiply
    189,567x = 284,823 × 284,823
  4. Step 4: Simplify right side
    189,567x = 81,124,141,329
  5. Step 5: Solve for x
    x = 81,124,141,329/189,567
  6. Step 6: Final answer
    x = 427,944.43

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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.