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Finding the Third Proportional to 788.25 and 1,679.81

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Solution

The third proportional to 788.25 and 1,679.81 is: 3,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.25 : 1,679.81 = 1,679.81 : x
  2. Step 2: Convert to fraction form
    788.25/1,679.81 = 1,679.81/x
  3. Step 3: Cross multiply
    788.25x = 1,679.81 × 1,679.81
  4. Step 4: Simplify right side
    788.25x = 2,821,770.04
  5. Step 5: Solve for x
    x = 2,821,770.04/788.25
  6. Step 6: Final answer
    x = 3,579.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.