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Finding the Third Proportional to 120.66 and 264.23

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Solution

The third proportional to 120.66 and 264.23 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 264.23 = 264.23 : x
  2. Step 2: Convert to fraction form
    120.66/264.23 = 264.23/x
  3. Step 3: Cross multiply
    120.66x = 264.23 × 264.23
  4. Step 4: Simplify right side
    120.66x = 69,819.80
  5. Step 5: Solve for x
    x = 69,819.80/120.66
  6. Step 6: Final answer
    x = 578.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.