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Finding the Third Proportional to 331,512 and 491,052

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Solution

The third proportional to 331,512 and 491,052 is: 727,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,512 : 491,052 = 491,052 : x
  2. Step 2: Convert to fraction form
    331,512/491,052 = 491,052/x
  3. Step 3: Cross multiply
    331,512x = 491,052 × 491,052
  4. Step 4: Simplify right side
    331,512x = 241,132,066,704
  5. Step 5: Solve for x
    x = 241,132,066,704/331,512
  6. Step 6: Final answer
    x = 727,370.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.