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Finding the Third Proportional to 121.44 and 260.20

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Solution

The third proportional to 121.44 and 260.20 is: 557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.44 : 260.20 = 260.20 : x
  2. Step 2: Convert to fraction form
    121.44/260.20 = 260.20/x
  3. Step 3: Cross multiply
    121.44x = 260.20 × 260.20
  4. Step 4: Simplify right side
    121.44x = 67,705.46
  5. Step 5: Solve for x
    x = 67,705.46/121.44
  6. Step 6: Final answer
    x = 557.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.