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Finding the Third Proportional to 284.41 and 434.88

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Solution

The third proportional to 284.41 and 434.88 is: 664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.41 : 434.88 = 434.88 : x
  2. Step 2: Convert to fraction form
    284.41/434.88 = 434.88/x
  3. Step 3: Cross multiply
    284.41x = 434.88 × 434.88
  4. Step 4: Simplify right side
    284.41x = 189,116.27
  5. Step 5: Solve for x
    x = 189,116.27/284.41
  6. Step 6: Final answer
    x = 664.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.