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Finding the Third Proportional to 415.75 and 636.88

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Solution

The third proportional to 415.75 and 636.88 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 636.88 = 636.88 : x
  2. Step 2: Convert to fraction form
    415.75/636.88 = 636.88/x
  3. Step 3: Cross multiply
    415.75x = 636.88 × 636.88
  4. Step 4: Simplify right side
    415.75x = 405,609.77
  5. Step 5: Solve for x
    x = 405,609.77/415.75
  6. Step 6: Final answer
    x = 975.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.