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Finding the Third Proportional to 394,161 and 608,708

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Solution

The third proportional to 394,161 and 608,708 is: 940,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,161 : 608,708 = 608,708 : x
  2. Step 2: Convert to fraction form
    394,161/608,708 = 608,708/x
  3. Step 3: Cross multiply
    394,161x = 608,708 × 608,708
  4. Step 4: Simplify right side
    394,161x = 370,525,429,264
  5. Step 5: Solve for x
    x = 370,525,429,264/394,161
  6. Step 6: Final answer
    x = 940,035.74

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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.