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Finding the Third Proportional to 240.47 and 382.78

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Solution

The third proportional to 240.47 and 382.78 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 382.78 = 382.78 : x
  2. Step 2: Convert to fraction form
    240.47/382.78 = 382.78/x
  3. Step 3: Cross multiply
    240.47x = 382.78 × 382.78
  4. Step 4: Simplify right side
    240.47x = 146,521.49
  5. Step 5: Solve for x
    x = 146,521.49/240.47
  6. Step 6: Final answer
    x = 609.32

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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.