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Finding the Third Proportional to 394,134 and 611,442

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Solution

The third proportional to 394,134 and 611,442 is: 948,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,134 : 611,442 = 611,442 : x
  2. Step 2: Convert to fraction form
    394,134/611,442 = 611,442/x
  3. Step 3: Cross multiply
    394,134x = 611,442 × 611,442
  4. Step 4: Simplify right side
    394,134x = 373,861,319,364
  5. Step 5: Solve for x
    x = 373,861,319,364/394,134
  6. Step 6: Final answer
    x = 948,563.99

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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.