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Finding the Third Proportional to 410,877 and 617,285

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Solution

The third proportional to 410,877 and 617,285 is: 927,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,877 : 617,285 = 617,285 : x
  2. Step 2: Convert to fraction form
    410,877/617,285 = 617,285/x
  3. Step 3: Cross multiply
    410,877x = 617,285 × 617,285
  4. Step 4: Simplify right side
    410,877x = 381,040,771,225
  5. Step 5: Solve for x
    x = 381,040,771,225/410,877
  6. Step 6: Final answer
    x = 927,384.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.