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Finding the Third Proportional to 410,878 and 617,286

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Solution

The third proportional to 410,878 and 617,286 is: 927,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,878 : 617,286 = 617,286 : x
  2. Step 2: Convert to fraction form
    410,878/617,286 = 617,286/x
  3. Step 3: Cross multiply
    410,878x = 617,286 × 617,286
  4. Step 4: Simplify right side
    410,878x = 381,042,005,796
  5. Step 5: Solve for x
    x = 381,042,005,796/410,878
  6. Step 6: Final answer
    x = 927,384.79

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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.