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Finding the Third Proportional to 189,789 and 284,157

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Solution

The third proportional to 189,789 and 284,157 is: 425,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,789 : 284,157 = 284,157 : x
  2. Step 2: Convert to fraction form
    189,789/284,157 = 284,157/x
  3. Step 3: Cross multiply
    189,789x = 284,157 × 284,157
  4. Step 4: Simplify right side
    189,789x = 80,745,200,649
  5. Step 5: Solve for x
    x = 80,745,200,649/189,789
  6. Step 6: Final answer
    x = 425,447.21

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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.