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Finding the Third Proportional to 392,438 and 603,966

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Solution

The third proportional to 392,438 and 603,966 is: 929,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,438 : 603,966 = 603,966 : x
  2. Step 2: Convert to fraction form
    392,438/603,966 = 603,966/x
  3. Step 3: Cross multiply
    392,438x = 603,966 × 603,966
  4. Step 4: Simplify right side
    392,438x = 364,774,929,156
  5. Step 5: Solve for x
    x = 364,774,929,156/392,438
  6. Step 6: Final answer
    x = 929,509.70

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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.