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Finding the Third Proportional to 378.42 and 573.33

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Solution

The third proportional to 378.42 and 573.33 is: 868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 573.33 = 573.33 : x
  2. Step 2: Convert to fraction form
    378.42/573.33 = 573.33/x
  3. Step 3: Cross multiply
    378.42x = 573.33 × 573.33
  4. Step 4: Simplify right side
    378.42x = 328,705.14
  5. Step 5: Solve for x
    x = 328,705.14/378.42
  6. Step 6: Final answer
    x = 868.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.