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Finding the Third Proportional to 274,014 and 409,907

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Solution

The third proportional to 274,014 and 409,907 is: 613,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,014 : 409,907 = 409,907 : x
  2. Step 2: Convert to fraction form
    274,014/409,907 = 409,907/x
  3. Step 3: Cross multiply
    274,014x = 409,907 × 409,907
  4. Step 4: Simplify right side
    274,014x = 168,023,748,649
  5. Step 5: Solve for x
    x = 168,023,748,649/274,014
  6. Step 6: Final answer
    x = 613,194.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.