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Finding the Third Proportional to 344,683 and 729,109

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Solution

The third proportional to 344,683 and 729,109 is: 1,542,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,683 : 729,109 = 729,109 : x
  2. Step 2: Convert to fraction form
    344,683/729,109 = 729,109/x
  3. Step 3: Cross multiply
    344,683x = 729,109 × 729,109
  4. Step 4: Simplify right side
    344,683x = 531,599,933,881
  5. Step 5: Solve for x
    x = 531,599,933,881/344,683
  6. Step 6: Final answer
    x = 1,542,286.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.