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Finding the Third Proportional to 383.78 and 595.31

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Solution

The third proportional to 383.78 and 595.31 is: 923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 595.31 = 595.31 : x
  2. Step 2: Convert to fraction form
    383.78/595.31 = 595.31/x
  3. Step 3: Cross multiply
    383.78x = 595.31 × 595.31
  4. Step 4: Simplify right side
    383.78x = 354,396.97
  5. Step 5: Solve for x
    x = 354,396.97/383.78
  6. Step 6: Final answer
    x = 923.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.