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Finding the Third Proportional to 121,876 and 266,108

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Solution

The third proportional to 121,876 and 266,108 is: 581,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,876 : 266,108 = 266,108 : x
  2. Step 2: Convert to fraction form
    121,876/266,108 = 266,108/x
  3. Step 3: Cross multiply
    121,876x = 266,108 × 266,108
  4. Step 4: Simplify right side
    121,876x = 70,813,467,664
  5. Step 5: Solve for x
    x = 70,813,467,664/121,876
  6. Step 6: Final answer
    x = 581,028.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.