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Finding the Third Proportional to 383.38 and 509.84

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Solution

The third proportional to 383.38 and 509.84 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.38 : 509.84 = 509.84 : x
  2. Step 2: Convert to fraction form
    383.38/509.84 = 509.84/x
  3. Step 3: Cross multiply
    383.38x = 509.84 × 509.84
  4. Step 4: Simplify right side
    383.38x = 259,932.68
  5. Step 5: Solve for x
    x = 259,932.68/383.38
  6. Step 6: Final answer
    x = 678.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.