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Finding the Third Proportional to 394,729.45 and 610,957.69

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Solution

The third proportional to 394,729.45 and 610,957.69 is: 945,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,729.45 : 610,957.69 = 610,957.69 : x
  2. Step 2: Convert to fraction form
    394,729.45/610,957.69 = 610,957.69/x
  3. Step 3: Cross multiply
    394,729.45x = 610,957.69 × 610,957.69
  4. Step 4: Simplify right side
    394,729.45x = 373,269,295,915.35
  5. Step 5: Solve for x
    x = 373,269,295,915.35/394,729.45
  6. Step 6: Final answer
    x = 945,633.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.