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Finding the Third Proportional to 405,121 and 873,042

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Solution

The third proportional to 405,121 and 873,042 is: 1,881,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,121 : 873,042 = 873,042 : x
  2. Step 2: Convert to fraction form
    405,121/873,042 = 873,042/x
  3. Step 3: Cross multiply
    405,121x = 873,042 × 873,042
  4. Step 4: Simplify right side
    405,121x = 762,202,333,764
  5. Step 5: Solve for x
    x = 762,202,333,764/405,121
  6. Step 6: Final answer
    x = 1,881,418.97

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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.