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Finding the Third Proportional to 401,067 and 867,582

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Solution

The third proportional to 401,067 and 867,582 is: 1,876,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,067 : 867,582 = 867,582 : x
  2. Step 2: Convert to fraction form
    401,067/867,582 = 867,582/x
  3. Step 3: Cross multiply
    401,067x = 867,582 × 867,582
  4. Step 4: Simplify right side
    401,067x = 752,698,526,724
  5. Step 5: Solve for x
    x = 752,698,526,724/401,067
  6. Step 6: Final answer
    x = 1,876,740.11

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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.