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Finding the Third Proportional to 365.44 and 783.19

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Solution

The third proportional to 365.44 and 783.19 is: 1,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.44 : 783.19 = 783.19 : x
  2. Step 2: Convert to fraction form
    365.44/783.19 = 783.19/x
  3. Step 3: Cross multiply
    365.44x = 783.19 × 783.19
  4. Step 4: Simplify right side
    365.44x = 613,382.66
  5. Step 5: Solve for x
    x = 613,382.66/365.44
  6. Step 6: Final answer
    x = 1,678.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.