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Finding the Third Proportional to 252,876 and 379,986

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Solution

The third proportional to 252,876 and 379,986 is: 570,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,876 : 379,986 = 379,986 : x
  2. Step 2: Convert to fraction form
    252,876/379,986 = 379,986/x
  3. Step 3: Cross multiply
    252,876x = 379,986 × 379,986
  4. Step 4: Simplify right side
    252,876x = 144,389,360,196
  5. Step 5: Solve for x
    x = 144,389,360,196/252,876
  6. Step 6: Final answer
    x = 570,988.79

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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.