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Finding the Third Proportional to 331,669 and 500,278

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Solution

The third proportional to 331,669 and 500,278 is: 754,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,669 : 500,278 = 500,278 : x
  2. Step 2: Convert to fraction form
    331,669/500,278 = 500,278/x
  3. Step 3: Cross multiply
    331,669x = 500,278 × 500,278
  4. Step 4: Simplify right side
    331,669x = 250,278,077,284
  5. Step 5: Solve for x
    x = 250,278,077,284/331,669
  6. Step 6: Final answer
    x = 754,601.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.