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Finding the Third Proportional to 583,876 and 878,406

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Solution

The third proportional to 583,876 and 878,406 is: 1,321,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,876 : 878,406 = 878,406 : x
  2. Step 2: Convert to fraction form
    583,876/878,406 = 878,406/x
  3. Step 3: Cross multiply
    583,876x = 878,406 × 878,406
  4. Step 4: Simplify right side
    583,876x = 771,597,100,836
  5. Step 5: Solve for x
    x = 771,597,100,836/583,876
  6. Step 6: Final answer
    x = 1,321,508.51

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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.