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Finding the Third Proportional to 120.38 and 294.94

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Solution

The third proportional to 120.38 and 294.94 is: 722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 294.94 = 294.94 : x
  2. Step 2: Convert to fraction form
    120.38/294.94 = 294.94/x
  3. Step 3: Cross multiply
    120.38x = 294.94 × 294.94
  4. Step 4: Simplify right side
    120.38x = 86,988.13
  5. Step 5: Solve for x
    x = 86,988.13/120.38
  6. Step 6: Final answer
    x = 722.64

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.