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Finding the Third Proportional to 394,480 and 640,901

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Solution

The third proportional to 394,480 and 640,901 is: 1,041,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,480 : 640,901 = 640,901 : x
  2. Step 2: Convert to fraction form
    394,480/640,901 = 640,901/x
  3. Step 3: Cross multiply
    394,480x = 640,901 × 640,901
  4. Step 4: Simplify right side
    394,480x = 410,754,091,801
  5. Step 5: Solve for x
    x = 410,754,091,801/394,480
  6. Step 6: Final answer
    x = 1,041,254.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.