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Finding the Third Proportional to 378.49 and 584.51

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Solution

The third proportional to 378.49 and 584.51 is: 902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 584.51 = 584.51 : x
  2. Step 2: Convert to fraction form
    378.49/584.51 = 584.51/x
  3. Step 3: Cross multiply
    378.49x = 584.51 × 584.51
  4. Step 4: Simplify right side
    378.49x = 341,649.38
  5. Step 5: Solve for x
    x = 341,649.38/378.49
  6. Step 6: Final answer
    x = 902.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.