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Finding the Third Proportional to 156,373 and 251,782

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Solution

The third proportional to 156,373 and 251,782 is: 405,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,373 : 251,782 = 251,782 : x
  2. Step 2: Convert to fraction form
    156,373/251,782 = 251,782/x
  3. Step 3: Cross multiply
    156,373x = 251,782 × 251,782
  4. Step 4: Simplify right side
    156,373x = 63,394,175,524
  5. Step 5: Solve for x
    x = 63,394,175,524/156,373
  6. Step 6: Final answer
    x = 405,403.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.