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Finding the Third Proportional to 252,781 and 379,820

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Solution

The third proportional to 252,781 and 379,820 is: 570,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,781 : 379,820 = 379,820 : x
  2. Step 2: Convert to fraction form
    252,781/379,820 = 379,820/x
  3. Step 3: Cross multiply
    252,781x = 379,820 × 379,820
  4. Step 4: Simplify right side
    252,781x = 144,263,232,400
  5. Step 5: Solve for x
    x = 144,263,232,400/252,781
  6. Step 6: Final answer
    x = 570,704.41

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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.