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Finding the Third Proportional to 121.74 and 262.70

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Solution

The third proportional to 121.74 and 262.70 is: 566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 262.70 = 262.70 : x
  2. Step 2: Convert to fraction form
    121.74/262.70 = 262.70/x
  3. Step 3: Cross multiply
    121.74x = 262.70 × 262.70
  4. Step 4: Simplify right side
    121.74x = 69,009.34
  5. Step 5: Solve for x
    x = 69,009.34/121.74
  6. Step 6: Final answer
    x = 566.87

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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.