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Finding the Third Proportional to 400,854 and 834,878

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Solution

The third proportional to 400,854 and 834,878 is: 1,738,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,854 : 834,878 = 834,878 : x
  2. Step 2: Convert to fraction form
    400,854/834,878 = 834,878/x
  3. Step 3: Cross multiply
    400,854x = 834,878 × 834,878
  4. Step 4: Simplify right side
    400,854x = 697,021,274,884
  5. Step 5: Solve for x
    x = 697,021,274,884/400,854
  6. Step 6: Final answer
    x = 1,738,840.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.