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Finding the Third Proportional to 252,774 and 379,809

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Solution

The third proportional to 252,774 and 379,809 is: 570,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,774 : 379,809 = 379,809 : x
  2. Step 2: Convert to fraction form
    252,774/379,809 = 379,809/x
  3. Step 3: Cross multiply
    252,774x = 379,809 × 379,809
  4. Step 4: Simplify right side
    252,774x = 144,254,876,481
  5. Step 5: Solve for x
    x = 144,254,876,481/252,774
  6. Step 6: Final answer
    x = 570,687.16

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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.