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Finding the Third Proportional to 391,118 and 941,909

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Solution

The third proportional to 391,118 and 941,909 is: 2,268,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,118 : 941,909 = 941,909 : x
  2. Step 2: Convert to fraction form
    391,118/941,909 = 941,909/x
  3. Step 3: Cross multiply
    391,118x = 941,909 × 941,909
  4. Step 4: Simplify right side
    391,118x = 887,192,564,281
  5. Step 5: Solve for x
    x = 887,192,564,281/391,118
  6. Step 6: Final answer
    x = 2,268,350.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.