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Finding the Third Proportional to 240.89 and 384.33

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Solution

The third proportional to 240.89 and 384.33 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.89 : 384.33 = 384.33 : x
  2. Step 2: Convert to fraction form
    240.89/384.33 = 384.33/x
  3. Step 3: Cross multiply
    240.89x = 384.33 × 384.33
  4. Step 4: Simplify right side
    240.89x = 147,708.11
  5. Step 5: Solve for x
    x = 147,708.11/240.89
  6. Step 6: Final answer
    x = 613.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.