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Finding the Third Proportional to 383.16 and 574.74

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Solution

The third proportional to 383.16 and 574.74 is: 862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.16 : 574.74 = 574.74 : x
  2. Step 2: Convert to fraction form
    383.16/574.74 = 574.74/x
  3. Step 3: Cross multiply
    383.16x = 574.74 × 574.74
  4. Step 4: Simplify right side
    383.16x = 330,321.16
  5. Step 5: Solve for x
    x = 330,321.16/383.16
  6. Step 6: Final answer
    x = 862.10

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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.