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Finding the Third Proportional to 401,606 and 844,628

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Solution

The third proportional to 401,606 and 844,628 is: 1,776,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,606 : 844,628 = 844,628 : x
  2. Step 2: Convert to fraction form
    401,606/844,628 = 844,628/x
  3. Step 3: Cross multiply
    401,606x = 844,628 × 844,628
  4. Step 4: Simplify right side
    401,606x = 713,396,458,384
  5. Step 5: Solve for x
    x = 713,396,458,384/401,606
  6. Step 6: Final answer
    x = 1,776,359.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.