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Finding the Third Proportional to 684.94 and 1,568.06

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Solution

The third proportional to 684.94 and 1,568.06 is: 3,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 1,568.06 = 1,568.06 : x
  2. Step 2: Convert to fraction form
    684.94/1,568.06 = 1,568.06/x
  3. Step 3: Cross multiply
    684.94x = 1,568.06 × 1,568.06
  4. Step 4: Simplify right side
    684.94x = 2,458,820.00
  5. Step 5: Solve for x
    x = 2,458,820.00/684.94
  6. Step 6: Final answer
    x = 3,589.85

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.