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Finding the Third Proportional to 392,436 and 603,963

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Solution

The third proportional to 392,436 and 603,963 is: 929,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,436 : 603,963 = 603,963 : x
  2. Step 2: Convert to fraction form
    392,436/603,963 = 603,963/x
  3. Step 3: Cross multiply
    392,436x = 603,963 × 603,963
  4. Step 4: Simplify right side
    392,436x = 364,771,305,369
  5. Step 5: Solve for x
    x = 364,771,305,369/392,436
  6. Step 6: Final answer
    x = 929,505.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.