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Finding the Third Proportional to 410,876 and 617,283

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Solution

The third proportional to 410,876 and 617,283 is: 927,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,876 : 617,283 = 617,283 : x
  2. Step 2: Convert to fraction form
    410,876/617,283 = 617,283/x
  3. Step 3: Cross multiply
    410,876x = 617,283 × 617,283
  4. Step 4: Simplify right side
    410,876x = 381,038,302,089
  5. Step 5: Solve for x
    x = 381,038,302,089/410,876
  6. Step 6: Final answer
    x = 927,380.29

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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.