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Finding the Third Proportional to 475.84 and 636.53

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Solution

The third proportional to 475.84 and 636.53 is: 851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 636.53 = 636.53 : x
  2. Step 2: Convert to fraction form
    475.84/636.53 = 636.53/x
  3. Step 3: Cross multiply
    475.84x = 636.53 × 636.53
  4. Step 4: Simplify right side
    475.84x = 405,172.03
  5. Step 5: Solve for x
    x = 405,172.03/475.84
  6. Step 6: Final answer
    x = 851.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.