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Finding the Third Proportional to 152,856 and 203,863

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Solution

The third proportional to 152,856 and 203,863 is: 271,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,856 : 203,863 = 203,863 : x
  2. Step 2: Convert to fraction form
    152,856/203,863 = 203,863/x
  3. Step 3: Cross multiply
    152,856x = 203,863 × 203,863
  4. Step 4: Simplify right side
    152,856x = 41,560,122,769
  5. Step 5: Solve for x
    x = 41,560,122,769/152,856
  6. Step 6: Final answer
    x = 271,890.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.