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Finding the Third Proportional to 122,864 and 173,136

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Solution

The third proportional to 122,864 and 173,136 is: 243,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864 : 173,136 = 173,136 : x
  2. Step 2: Convert to fraction form
    122,864/173,136 = 173,136/x
  3. Step 3: Cross multiply
    122,864x = 173,136 × 173,136
  4. Step 4: Simplify right side
    122,864x = 29,976,074,496
  5. Step 5: Solve for x
    x = 29,976,074,496/122,864
  6. Step 6: Final answer
    x = 243,977.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.