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Finding the Third Proportional to 681.12 and 1,426.36

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Solution

The third proportional to 681.12 and 1,426.36 is: 2,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 1,426.36 = 1,426.36 : x
  2. Step 2: Convert to fraction form
    681.12/1,426.36 = 1,426.36/x
  3. Step 3: Cross multiply
    681.12x = 1,426.36 × 1,426.36
  4. Step 4: Simplify right side
    681.12x = 2,034,501.07
  5. Step 5: Solve for x
    x = 2,034,501.07/681.12
  6. Step 6: Final answer
    x = 2,987.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.