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Finding the Third Proportional to 393,928 and 611,125

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Solution

The third proportional to 393,928 and 611,125 is: 948,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,928 : 611,125 = 611,125 : x
  2. Step 2: Convert to fraction form
    393,928/611,125 = 611,125/x
  3. Step 3: Cross multiply
    393,928x = 611,125 × 611,125
  4. Step 4: Simplify right side
    393,928x = 373,473,765,625
  5. Step 5: Solve for x
    x = 373,473,765,625/393,928
  6. Step 6: Final answer
    x = 948,076.21

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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.