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Finding the Third Proportional to 202,138 and 336,869

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Solution

The third proportional to 202,138 and 336,869 is: 561,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138 : 336,869 = 336,869 : x
  2. Step 2: Convert to fraction form
    202,138/336,869 = 336,869/x
  3. Step 3: Cross multiply
    202,138x = 336,869 × 336,869
  4. Step 4: Simplify right side
    202,138x = 113,480,723,161
  5. Step 5: Solve for x
    x = 113,480,723,161/202,138
  6. Step 6: Final answer
    x = 561,402.23

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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.