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Finding the Third Proportional to 240.54 and 382.39

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Solution

The third proportional to 240.54 and 382.39 is: 607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.54 : 382.39 = 382.39 : x
  2. Step 2: Convert to fraction form
    240.54/382.39 = 382.39/x
  3. Step 3: Cross multiply
    240.54x = 382.39 × 382.39
  4. Step 4: Simplify right side
    240.54x = 146,225.58
  5. Step 5: Solve for x
    x = 146,225.58/240.54
  6. Step 6: Final answer
    x = 607.91

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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.