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Finding the Third Proportional to 121,110 and 266,116

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Solution

The third proportional to 121,110 and 266,116 is: 584,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,110 : 266,116 = 266,116 : x
  2. Step 2: Convert to fraction form
    121,110/266,116 = 266,116/x
  3. Step 3: Cross multiply
    121,110x = 266,116 × 266,116
  4. Step 4: Simplify right side
    121,110x = 70,817,725,456
  5. Step 5: Solve for x
    x = 70,817,725,456/121,110
  6. Step 6: Final answer
    x = 584,738.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.