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Finding the Third Proportional to 284.75 and 408.19

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Solution

The third proportional to 284.75 and 408.19 is: 585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 408.19 = 408.19 : x
  2. Step 2: Convert to fraction form
    284.75/408.19 = 408.19/x
  3. Step 3: Cross multiply
    284.75x = 408.19 × 408.19
  4. Step 4: Simplify right side
    284.75x = 166,617.04
  5. Step 5: Solve for x
    x = 166,617.04/284.75
  6. Step 6: Final answer
    x = 585.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.