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Finding the Third Proportional to 202,071.38 and 336,771

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Solution

The third proportional to 202,071.38 and 336,771 is: 561,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,071.38 : 336,771 = 336,771 : x
  2. Step 2: Convert to fraction form
    202,071.38/336,771 = 336,771/x
  3. Step 3: Cross multiply
    202,071.38x = 336,771 × 336,771
  4. Step 4: Simplify right side
    202,071.38x = 113,414,706,441
  5. Step 5: Solve for x
    x = 113,414,706,441/202,071.38
  6. Step 6: Final answer
    x = 561,260.63

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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.