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Finding the Third Proportional to 453.38 and 636.47

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Solution

The third proportional to 453.38 and 636.47 is: 893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.38 : 636.47 = 636.47 : x
  2. Step 2: Convert to fraction form
    453.38/636.47 = 636.47/x
  3. Step 3: Cross multiply
    453.38x = 636.47 × 636.47
  4. Step 4: Simplify right side
    453.38x = 405,092.47
  5. Step 5: Solve for x
    x = 405,092.47/453.38
  6. Step 6: Final answer
    x = 893.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.