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Finding the Third Proportional to 383.63 and 574.03

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Solution

The third proportional to 383.63 and 574.03 is: 858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 574.03 = 574.03 : x
  2. Step 2: Convert to fraction form
    383.63/574.03 = 574.03/x
  3. Step 3: Cross multiply
    383.63x = 574.03 × 574.03
  4. Step 4: Simplify right side
    383.63x = 329,511.88
  5. Step 5: Solve for x
    x = 329,511.88/383.63
  6. Step 6: Final answer
    x = 858.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.