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Finding the Third Proportional to 383.38 and 573.63

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Solution

The third proportional to 383.38 and 573.63 is: 858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.38 : 573.63 = 573.63 : x
  2. Step 2: Convert to fraction form
    383.38/573.63 = 573.63/x
  3. Step 3: Cross multiply
    383.38x = 573.63 × 573.63
  4. Step 4: Simplify right side
    383.38x = 329,045.64
  5. Step 5: Solve for x
    x = 329,045.64/383.38
  6. Step 6: Final answer
    x = 858.29

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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.