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Finding the Third Proportional to 791.81 and 1,720.31

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Solution

The third proportional to 791.81 and 1,720.31 is: 3,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.81 : 1,720.31 = 1,720.31 : x
  2. Step 2: Convert to fraction form
    791.81/1,720.31 = 1,720.31/x
  3. Step 3: Cross multiply
    791.81x = 1,720.31 × 1,720.31
  4. Step 4: Simplify right side
    791.81x = 2,959,475.10
  5. Step 5: Solve for x
    x = 2,959,475.10/791.81
  6. Step 6: Final answer
    x = 3,737.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.