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Finding the Third Proportional to 157,299 and 336,843

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Solution

The third proportional to 157,299 and 336,843 is: 721,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,299 : 336,843 = 336,843 : x
  2. Step 2: Convert to fraction form
    157,299/336,843 = 336,843/x
  3. Step 3: Cross multiply
    157,299x = 336,843 × 336,843
  4. Step 4: Simplify right side
    157,299x = 113,463,206,649
  5. Step 5: Solve for x
    x = 113,463,206,649/157,299
  6. Step 6: Final answer
    x = 721,321.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.