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Finding the Third Proportional to 401,891 and 621,728

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Solution

The third proportional to 401,891 and 621,728 is: 961,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,891 : 621,728 = 621,728 : x
  2. Step 2: Convert to fraction form
    401,891/621,728 = 621,728/x
  3. Step 3: Cross multiply
    401,891x = 621,728 × 621,728
  4. Step 4: Simplify right side
    401,891x = 386,545,705,984
  5. Step 5: Solve for x
    x = 386,545,705,984/401,891
  6. Step 6: Final answer
    x = 961,817.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.