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Finding the Third Proportional to 401,589 and 621,819

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Solution

The third proportional to 401,589 and 621,819 is: 962,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,589 : 621,819 = 621,819 : x
  2. Step 2: Convert to fraction form
    401,589/621,819 = 621,819/x
  3. Step 3: Cross multiply
    401,589x = 621,819 × 621,819
  4. Step 4: Simplify right side
    401,589x = 386,658,868,761
  5. Step 5: Solve for x
    x = 386,658,868,761/401,589
  6. Step 6: Final answer
    x = 962,822.36

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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.