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Finding the Third Proportional to 386.20 and 797.95

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Solution

The third proportional to 386.20 and 797.95 is: 1,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 797.95 = 797.95 : x
  2. Step 2: Convert to fraction form
    386.20/797.95 = 797.95/x
  3. Step 3: Cross multiply
    386.20x = 797.95 × 797.95
  4. Step 4: Simplify right side
    386.20x = 636,729.19
  5. Step 5: Solve for x
    x = 636,729.19/386.20
  6. Step 6: Final answer
    x = 1,648.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.