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Finding the Third Proportional to 284.86 and 426.66

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Solution

The third proportional to 284.86 and 426.66 is: 639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.86 : 426.66 = 426.66 : x
  2. Step 2: Convert to fraction form
    284.86/426.66 = 426.66/x
  3. Step 3: Cross multiply
    284.86x = 426.66 × 426.66
  4. Step 4: Simplify right side
    284.86x = 182,035.56
  5. Step 5: Solve for x
    x = 182,035.56/284.86
  6. Step 6: Final answer
    x = 639.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.