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Finding the Third Proportional to 240.94 and 384.09

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Solution

The third proportional to 240.94 and 384.09 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.94 : 384.09 = 384.09 : x
  2. Step 2: Convert to fraction form
    240.94/384.09 = 384.09/x
  3. Step 3: Cross multiply
    240.94x = 384.09 × 384.09
  4. Step 4: Simplify right side
    240.94x = 147,528.01
  5. Step 5: Solve for x
    x = 147,528.01/240.94
  6. Step 6: Final answer
    x = 612.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.