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Finding the Third Proportional to 866.11 and 1,313.09

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Solution

The third proportional to 866.11 and 1,313.09 is: 1,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.11 : 1,313.09 = 1,313.09 : x
  2. Step 2: Convert to fraction form
    866.11/1,313.09 = 1,313.09/x
  3. Step 3: Cross multiply
    866.11x = 1,313.09 × 1,313.09
  4. Step 4: Simplify right side
    866.11x = 1,724,194.68
  5. Step 5: Solve for x
    x = 1,724,194.68/866.11
  6. Step 6: Final answer
    x = 1,990.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.