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Finding the Third Proportional to 447.63 and 630.38

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Solution

The third proportional to 447.63 and 630.38 is: 887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.63 : 630.38 = 630.38 : x
  2. Step 2: Convert to fraction form
    447.63/630.38 = 630.38/x
  3. Step 3: Cross multiply
    447.63x = 630.38 × 630.38
  4. Step 4: Simplify right side
    447.63x = 397,372.64
  5. Step 5: Solve for x
    x = 397,372.64/447.63
  6. Step 6: Final answer
    x = 887.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.