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Finding the Third Proportional to 121.36 and 261.70

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Solution

The third proportional to 121.36 and 261.70 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 261.70 = 261.70 : x
  2. Step 2: Convert to fraction form
    121.36/261.70 = 261.70/x
  3. Step 3: Cross multiply
    121.36x = 261.70 × 261.70
  4. Step 4: Simplify right side
    121.36x = 68,488.53
  5. Step 5: Solve for x
    x = 68,488.53/121.36
  6. Step 6: Final answer
    x = 564.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.