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Finding the Third Proportional to 397,439 and 599,894

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Solution

The third proportional to 397,439 and 599,894 is: 905,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,439 : 599,894 = 599,894 : x
  2. Step 2: Convert to fraction form
    397,439/599,894 = 599,894/x
  3. Step 3: Cross multiply
    397,439x = 599,894 × 599,894
  4. Step 4: Simplify right side
    397,439x = 359,872,811,236
  5. Step 5: Solve for x
    x = 359,872,811,236/397,439
  6. Step 6: Final answer
    x = 905,479.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.