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Finding the Third Proportional to 140,786 and 283,876

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Solution

The third proportional to 140,786 and 283,876 is: 572,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,786 : 283,876 = 283,876 : x
  2. Step 2: Convert to fraction form
    140,786/283,876 = 283,876/x
  3. Step 3: Cross multiply
    140,786x = 283,876 × 283,876
  4. Step 4: Simplify right side
    140,786x = 80,585,583,376
  5. Step 5: Solve for x
    x = 80,585,583,376/140,786
  6. Step 6: Final answer
    x = 572,397.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.