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Finding the Third Proportional to 380,739 and 901,992

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Solution

The third proportional to 380,739 and 901,992 is: 2,136,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,739 : 901,992 = 901,992 : x
  2. Step 2: Convert to fraction form
    380,739/901,992 = 901,992/x
  3. Step 3: Cross multiply
    380,739x = 901,992 × 901,992
  4. Step 4: Simplify right side
    380,739x = 813,589,568,064
  5. Step 5: Solve for x
    x = 813,589,568,064/380,739
  6. Step 6: Final answer
    x = 2,136,869.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.