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Finding the Third Proportional to 636.19 and 817.59

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Solution

The third proportional to 636.19 and 817.59 is: 1,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.19 : 817.59 = 817.59 : x
  2. Step 2: Convert to fraction form
    636.19/817.59 = 817.59/x
  3. Step 3: Cross multiply
    636.19x = 817.59 × 817.59
  4. Step 4: Simplify right side
    636.19x = 668,459.54
  5. Step 5: Solve for x
    x = 668,459.54/636.19
  6. Step 6: Final answer
    x = 1,050.73

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.