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Finding the Third Proportional to 210,774 and 374,766

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Solution

The third proportional to 210,774 and 374,766 is: 666,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,774 : 374,766 = 374,766 : x
  2. Step 2: Convert to fraction form
    210,774/374,766 = 374,766/x
  3. Step 3: Cross multiply
    210,774x = 374,766 × 374,766
  4. Step 4: Simplify right side
    210,774x = 140,449,554,756
  5. Step 5: Solve for x
    x = 140,449,554,756/210,774
  6. Step 6: Final answer
    x = 666,351.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.