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Finding the Third Proportional to 401,885 and 866,867

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Solution

The third proportional to 401,885 and 866,867 is: 1,869,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,885 : 866,867 = 866,867 : x
  2. Step 2: Convert to fraction form
    401,885/866,867 = 866,867/x
  3. Step 3: Cross multiply
    401,885x = 866,867 × 866,867
  4. Step 4: Simplify right side
    401,885x = 751,458,395,689
  5. Step 5: Solve for x
    x = 751,458,395,689/401,885
  6. Step 6: Final answer
    x = 1,869,834.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.