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Finding the Third Proportional to 122,866 and 173,138

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Solution

The third proportional to 122,866 and 173,138 is: 243,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,866 : 173,138 = 173,138 : x
  2. Step 2: Convert to fraction form
    122,866/173,138 = 173,138/x
  3. Step 3: Cross multiply
    122,866x = 173,138 × 173,138
  4. Step 4: Simplify right side
    122,866x = 29,976,767,044
  5. Step 5: Solve for x
    x = 29,976,767,044/122,866
  6. Step 6: Final answer
    x = 243,979.35

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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.