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Finding the Third Proportional to 394,690 and 601,859

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Solution

The third proportional to 394,690 and 601,859 is: 917,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,690 : 601,859 = 601,859 : x
  2. Step 2: Convert to fraction form
    394,690/601,859 = 601,859/x
  3. Step 3: Cross multiply
    394,690x = 601,859 × 601,859
  4. Step 4: Simplify right side
    394,690x = 362,234,255,881
  5. Step 5: Solve for x
    x = 362,234,255,881/394,690
  6. Step 6: Final answer
    x = 917,769.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.