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Finding the Third Proportional to 394,093 and 611,470

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Solution

The third proportional to 394,093 and 611,470 is: 948,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,093 : 611,470 = 611,470 : x
  2. Step 2: Convert to fraction form
    394,093/611,470 = 611,470/x
  3. Step 3: Cross multiply
    394,093x = 611,470 × 611,470
  4. Step 4: Simplify right side
    394,093x = 373,895,560,900
  5. Step 5: Solve for x
    x = 373,895,560,900/394,093
  6. Step 6: Final answer
    x = 948,749.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.