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Finding the Third Proportional to 227,170 and 343,939

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Solution

The third proportional to 227,170 and 343,939 is: 520,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,170 : 343,939 = 343,939 : x
  2. Step 2: Convert to fraction form
    227,170/343,939 = 343,939/x
  3. Step 3: Cross multiply
    227,170x = 343,939 × 343,939
  4. Step 4: Simplify right side
    227,170x = 118,294,035,721
  5. Step 5: Solve for x
    x = 118,294,035,721/227,170
  6. Step 6: Final answer
    x = 520,729.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.