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Finding the Third Proportional to 681.88 and 1,412.69

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Solution

The third proportional to 681.88 and 1,412.69 is: 2,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.88 : 1,412.69 = 1,412.69 : x
  2. Step 2: Convert to fraction form
    681.88/1,412.69 = 1,412.69/x
  3. Step 3: Cross multiply
    681.88x = 1,412.69 × 1,412.69
  4. Step 4: Simplify right side
    681.88x = 1,995,685.97
  5. Step 5: Solve for x
    x = 1,995,685.97/681.88
  6. Step 6: Final answer
    x = 2,926.76

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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.