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Finding the Third Proportional to 132,869 and 285,435

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Solution

The third proportional to 132,869 and 285,435 is: 613,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,869 : 285,435 = 285,435 : x
  2. Step 2: Convert to fraction form
    132,869/285,435 = 285,435/x
  3. Step 3: Cross multiply
    132,869x = 285,435 × 285,435
  4. Step 4: Simplify right side
    132,869x = 81,473,139,225
  5. Step 5: Solve for x
    x = 81,473,139,225/132,869
  6. Step 6: Final answer
    x = 613,183.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.