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Finding the Third Proportional to 121.69 and 261.38

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Solution

The third proportional to 121.69 and 261.38 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 261.38 = 261.38 : x
  2. Step 2: Convert to fraction form
    121.69/261.38 = 261.38/x
  3. Step 3: Cross multiply
    121.69x = 261.38 × 261.38
  4. Step 4: Simplify right side
    121.69x = 68,316.89
  5. Step 5: Solve for x
    x = 68,316.89/121.69
  6. Step 6: Final answer
    x = 561.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.