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Finding the Third Proportional to 252,782 and 380,775

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Solution

The third proportional to 252,782 and 380,775 is: 573,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,782 : 380,775 = 380,775 : x
  2. Step 2: Convert to fraction form
    252,782/380,775 = 380,775/x
  3. Step 3: Cross multiply
    252,782x = 380,775 × 380,775
  4. Step 4: Simplify right side
    252,782x = 144,989,600,625
  5. Step 5: Solve for x
    x = 144,989,600,625/252,782
  6. Step 6: Final answer
    x = 573,575.65

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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.