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Finding the Third Proportional to 120.09 and 186.33

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Solution

The third proportional to 120.09 and 186.33 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 186.33 = 186.33 : x
  2. Step 2: Convert to fraction form
    120.09/186.33 = 186.33/x
  3. Step 3: Cross multiply
    120.09x = 186.33 × 186.33
  4. Step 4: Simplify right side
    120.09x = 34,718.17
  5. Step 5: Solve for x
    x = 34,718.17/120.09
  6. Step 6: Final answer
    x = 289.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.