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Finding the Third Proportional to 380.53 and 574.95

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Solution

The third proportional to 380.53 and 574.95 is: 868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 574.95 = 574.95 : x
  2. Step 2: Convert to fraction form
    380.53/574.95 = 574.95/x
  3. Step 3: Cross multiply
    380.53x = 574.95 × 574.95
  4. Step 4: Simplify right side
    380.53x = 330,562.11
  5. Step 5: Solve for x
    x = 330,562.11/380.53
  6. Step 6: Final answer
    x = 868.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.