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Finding the Third Proportional to 378 and 568.13

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Solution

The third proportional to 378 and 568.13 is: 853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 568.13 = 568.13 : x
  2. Step 2: Convert to fraction form
    378/568.13 = 568.13/x
  3. Step 3: Cross multiply
    378x = 568.13 × 568.13
  4. Step 4: Simplify right side
    378x = 322,766.02
  5. Step 5: Solve for x
    x = 322,766.02/378
  6. Step 6: Final answer
    x = 853.88

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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.