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Finding the Third Proportional to 121.45 and 262.20

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Solution

The third proportional to 121.45 and 262.20 is: 566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.45 : 262.20 = 262.20 : x
  2. Step 2: Convert to fraction form
    121.45/262.20 = 262.20/x
  3. Step 3: Cross multiply
    121.45x = 262.20 × 262.20
  4. Step 4: Simplify right side
    121.45x = 68,746.38
  5. Step 5: Solve for x
    x = 68,746.38/121.45
  6. Step 6: Final answer
    x = 566.06

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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.