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Finding the Third Proportional to 474,990 and 743,589

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Solution

The third proportional to 474,990 and 743,589 is: 1,164,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,990 : 743,589 = 743,589 : x
  2. Step 2: Convert to fraction form
    474,990/743,589 = 743,589/x
  3. Step 3: Cross multiply
    474,990x = 743,589 × 743,589
  4. Step 4: Simplify right side
    474,990x = 552,924,600,921
  5. Step 5: Solve for x
    x = 552,924,600,921/474,990
  6. Step 6: Final answer
    x = 1,164,076.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.