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Finding the Third Proportional to 122,876 and 269,116

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Solution

The third proportional to 122,876 and 269,116 is: 589,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,876 : 269,116 = 269,116 : x
  2. Step 2: Convert to fraction form
    122,876/269,116 = 269,116/x
  3. Step 3: Cross multiply
    122,876x = 269,116 × 269,116
  4. Step 4: Simplify right side
    122,876x = 72,423,421,456
  5. Step 5: Solve for x
    x = 72,423,421,456/122,876
  6. Step 6: Final answer
    x = 589,402.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.