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Finding the Third Proportional to 202,109 and 336,827

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Solution

The third proportional to 202,109 and 336,827 is: 561,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,109 : 336,827 = 336,827 : x
  2. Step 2: Convert to fraction form
    202,109/336,827 = 336,827/x
  3. Step 3: Cross multiply
    202,109x = 336,827 × 336,827
  4. Step 4: Simplify right side
    202,109x = 113,452,427,929
  5. Step 5: Solve for x
    x = 113,452,427,929/202,109
  6. Step 6: Final answer
    x = 561,342.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.