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Finding the Third Proportional to 563,876 and 863,676

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Solution

The third proportional to 563,876 and 863,676 is: 1,322,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,876 : 863,676 = 863,676 : x
  2. Step 2: Convert to fraction form
    563,876/863,676 = 863,676/x
  3. Step 3: Cross multiply
    563,876x = 863,676 × 863,676
  4. Step 4: Simplify right side
    563,876x = 745,936,232,976
  5. Step 5: Solve for x
    x = 745,936,232,976/563,876
  6. Step 6: Final answer
    x = 1,322,872.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.