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Finding the Third Proportional to 381,456 and 813,564

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Solution

The third proportional to 381,456 and 813,564 is: 1,735,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,456 : 813,564 = 813,564 : x
  2. Step 2: Convert to fraction form
    381,456/813,564 = 813,564/x
  3. Step 3: Cross multiply
    381,456x = 813,564 × 813,564
  4. Step 4: Simplify right side
    381,456x = 661,886,382,096
  5. Step 5: Solve for x
    x = 661,886,382,096/381,456
  6. Step 6: Final answer
    x = 1,735,157.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.