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Finding the Third Proportional to 401,605 and 844,627

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Solution

The third proportional to 401,605 and 844,627 is: 1,776,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,605 : 844,627 = 844,627 : x
  2. Step 2: Convert to fraction form
    401,605/844,627 = 844,627/x
  3. Step 3: Cross multiply
    401,605x = 844,627 × 844,627
  4. Step 4: Simplify right side
    401,605x = 713,394,769,129
  5. Step 5: Solve for x
    x = 713,394,769,129/401,605
  6. Step 6: Final answer
    x = 1,776,359.28

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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.