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Finding the Third Proportional to 400,858 and 834,885

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Solution

The third proportional to 400,858 and 834,885 is: 1,738,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858 : 834,885 = 834,885 : x
  2. Step 2: Convert to fraction form
    400,858/834,885 = 834,885/x
  3. Step 3: Cross multiply
    400,858x = 834,885 × 834,885
  4. Step 4: Simplify right side
    400,858x = 697,032,963,225
  5. Step 5: Solve for x
    x = 697,032,963,225/400,858
  6. Step 6: Final answer
    x = 1,738,852.57

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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.