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Finding the Third Proportional to 284.91 and 342.42

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Solution

The third proportional to 284.91 and 342.42 is: 411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 342.42 = 342.42 : x
  2. Step 2: Convert to fraction form
    284.91/342.42 = 342.42/x
  3. Step 3: Cross multiply
    284.91x = 342.42 × 342.42
  4. Step 4: Simplify right side
    284.91x = 117,252.74
  5. Step 5: Solve for x
    x = 117,252.74/284.91
  6. Step 6: Final answer
    x = 411.55

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.