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Finding the Third Proportional to 120.46 and 261.16

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Solution

The third proportional to 120.46 and 261.16 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.46 : 261.16 = 261.16 : x
  2. Step 2: Convert to fraction form
    120.46/261.16 = 261.16/x
  3. Step 3: Cross multiply
    120.46x = 261.16 × 261.16
  4. Step 4: Simplify right side
    120.46x = 68,206.67
  5. Step 5: Solve for x
    x = 68,206.67/120.46
  6. Step 6: Final answer
    x = 566.23

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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.