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Finding the Third Proportional to 394,088 and 611,463

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Solution

The third proportional to 394,088 and 611,463 is: 948,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,088 : 611,463 = 611,463 : x
  2. Step 2: Convert to fraction form
    394,088/611,463 = 611,463/x
  3. Step 3: Cross multiply
    394,088x = 611,463 × 611,463
  4. Step 4: Simplify right side
    394,088x = 373,887,000,369
  5. Step 5: Solve for x
    x = 373,887,000,369/394,088
  6. Step 6: Final answer
    x = 948,739.88

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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.