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Finding the Third Proportional to 636.77 and 1,393.08

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Solution

The third proportional to 636.77 and 1,393.08 is: 3,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.77 : 1,393.08 = 1,393.08 : x
  2. Step 2: Convert to fraction form
    636.77/1,393.08 = 1,393.08/x
  3. Step 3: Cross multiply
    636.77x = 1,393.08 × 1,393.08
  4. Step 4: Simplify right side
    636.77x = 1,940,682.99
  5. Step 5: Solve for x
    x = 1,940,682.99/636.77
  6. Step 6: Final answer
    x = 3,047.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.