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Finding the Third Proportional to 121.74 and 264.30

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Solution

The third proportional to 121.74 and 264.30 is: 573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 264.30 = 264.30 : x
  2. Step 2: Convert to fraction form
    121.74/264.30 = 264.30/x
  3. Step 3: Cross multiply
    121.74x = 264.30 × 264.30
  4. Step 4: Simplify right side
    121.74x = 69,853.48
  5. Step 5: Solve for x
    x = 69,853.48/121.74
  6. Step 6: Final answer
    x = 573.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.