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Finding the Third Proportional to 253,836 and 336,944.25

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Solution

The third proportional to 253,836 and 336,944.25 is: 447,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,836 : 336,944.25 = 336,944.25 : x
  2. Step 2: Convert to fraction form
    253,836/336,944.25 = 336,944.25/x
  3. Step 3: Cross multiply
    253,836x = 336,944.25 × 336,944.25
  4. Step 4: Simplify right side
    253,836x = 113,531,427,608.06
  5. Step 5: Solve for x
    x = 113,531,427,608.06/253,836
  6. Step 6: Final answer
    x = 447,262.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.