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Finding the Third Proportional to 378.75 and 575.63

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Solution

The third proportional to 378.75 and 575.63 is: 874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.75 : 575.63 = 575.63 : x
  2. Step 2: Convert to fraction form
    378.75/575.63 = 575.63/x
  3. Step 3: Cross multiply
    378.75x = 575.63 × 575.63
  4. Step 4: Simplify right side
    378.75x = 331,344.14
  5. Step 5: Solve for x
    x = 331,344.14/378.75
  6. Step 6: Final answer
    x = 874.84

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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.