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Finding the Third Proportional to 368.03 and 779.09

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Solution

The third proportional to 368.03 and 779.09 is: 1,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.03 : 779.09 = 779.09 : x
  2. Step 2: Convert to fraction form
    368.03/779.09 = 779.09/x
  3. Step 3: Cross multiply
    368.03x = 779.09 × 779.09
  4. Step 4: Simplify right side
    368.03x = 606,987.07
  5. Step 5: Solve for x
    x = 606,987.07/368.03
  6. Step 6: Final answer
    x = 1,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.