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Finding the Third Proportional to 355.96 and 779.94

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Solution

The third proportional to 355.96 and 779.94 is: 1,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 779.94 = 779.94 : x
  2. Step 2: Convert to fraction form
    355.96/779.94 = 779.94/x
  3. Step 3: Cross multiply
    355.96x = 779.94 × 779.94
  4. Step 4: Simplify right side
    355.96x = 608,308.60
  5. Step 5: Solve for x
    x = 608,308.60/355.96
  6. Step 6: Final answer
    x = 1,708.94

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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.