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Finding the Third Proportional to 120.28 and 261.66

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Solution

The third proportional to 120.28 and 261.66 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 261.66 = 261.66 : x
  2. Step 2: Convert to fraction form
    120.28/261.66 = 261.66/x
  3. Step 3: Cross multiply
    120.28x = 261.66 × 261.66
  4. Step 4: Simplify right side
    120.28x = 68,463.99
  5. Step 5: Solve for x
    x = 68,463.99/120.28
  6. Step 6: Final answer
    x = 569.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.