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Finding the Third Proportional to 100,856 and 156,161

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Solution

The third proportional to 100,856 and 156,161 is: 241,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856 : 156,161 = 156,161 : x
  2. Step 2: Convert to fraction form
    100,856/156,161 = 156,161/x
  3. Step 3: Cross multiply
    100,856x = 156,161 × 156,161
  4. Step 4: Simplify right side
    100,856x = 24,386,257,921
  5. Step 5: Solve for x
    x = 24,386,257,921/100,856
  6. Step 6: Final answer
    x = 241,792.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.