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Finding the Third Proportional to 120.09 and 261.28

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Solution

The third proportional to 120.09 and 261.28 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 261.28 = 261.28 : x
  2. Step 2: Convert to fraction form
    120.09/261.28 = 261.28/x
  3. Step 3: Cross multiply
    120.09x = 261.28 × 261.28
  4. Step 4: Simplify right side
    120.09x = 68,267.89
  5. Step 5: Solve for x
    x = 68,267.89/120.09
  6. Step 6: Final answer
    x = 568.45

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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.