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Finding the Third Proportional to 284.69 and 427.06

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Solution

The third proportional to 284.69 and 427.06 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 427.06 = 427.06 : x
  2. Step 2: Convert to fraction form
    284.69/427.06 = 427.06/x
  3. Step 3: Cross multiply
    284.69x = 427.06 × 427.06
  4. Step 4: Simplify right side
    284.69x = 182,382.38
  5. Step 5: Solve for x
    x = 182,382.38/284.69
  6. Step 6: Final answer
    x = 640.64

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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.