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Finding the Third Proportional to 840,876 and 1,305,600

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Solution

The third proportional to 840,876 and 1,305,600 is: 2,027,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,876 : 1,305,600 = 1,305,600 : x
  2. Step 2: Convert to fraction form
    840,876/1,305,600 = 1,305,600/x
  3. Step 3: Cross multiply
    840,876x = 1,305,600 × 1,305,600
  4. Step 4: Simplify right side
    840,876x = 1,704,591,360,000
  5. Step 5: Solve for x
    x = 1,704,591,360,000/840,876
  6. Step 6: Final answer
    x = 2,027,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.