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Finding the Third Proportional to 681.54 and 1,690.56

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Solution

The third proportional to 681.54 and 1,690.56 is: 4,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.54 : 1,690.56 = 1,690.56 : x
  2. Step 2: Convert to fraction form
    681.54/1,690.56 = 1,690.56/x
  3. Step 3: Cross multiply
    681.54x = 1,690.56 × 1,690.56
  4. Step 4: Simplify right side
    681.54x = 2,857,988.36
  5. Step 5: Solve for x
    x = 2,857,988.36/681.54
  6. Step 6: Final answer
    x = 4,193.43

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.