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Finding the Third Proportional to 253,839 and 336,948

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Solution

The third proportional to 253,839 and 336,948 is: 447,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,839 : 336,948 = 336,948 : x
  2. Step 2: Convert to fraction form
    253,839/336,948 = 336,948/x
  3. Step 3: Cross multiply
    253,839x = 336,948 × 336,948
  4. Step 4: Simplify right side
    253,839x = 113,533,954,704
  5. Step 5: Solve for x
    x = 113,533,954,704/253,839
  6. Step 6: Final answer
    x = 447,267.58

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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.