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Finding the Third Proportional to 378.94 and 565.88

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Solution

The third proportional to 378.94 and 565.88 is: 845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 565.88 = 565.88 : x
  2. Step 2: Convert to fraction form
    378.94/565.88 = 565.88/x
  3. Step 3: Cross multiply
    378.94x = 565.88 × 565.88
  4. Step 4: Simplify right side
    378.94x = 320,214.52
  5. Step 5: Solve for x
    x = 320,214.52/378.94
  6. Step 6: Final answer
    x = 845.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.