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Finding the Third Proportional to 392,442 and 603,973

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Solution

The third proportional to 392,442 and 603,973 is: 929,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,442 : 603,973 = 603,973 : x
  2. Step 2: Convert to fraction form
    392,442/603,973 = 603,973/x
  3. Step 3: Cross multiply
    392,442x = 603,973 × 603,973
  4. Step 4: Simplify right side
    392,442x = 364,783,384,729
  5. Step 5: Solve for x
    x = 364,783,384,729/392,442
  6. Step 6: Final answer
    x = 929,521.78

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Why These Related Problems?

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