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Finding the Third Proportional to 684.28 and 1,471.22

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Solution

The third proportional to 684.28 and 1,471.22 is: 3,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 1,471.22 = 1,471.22 : x
  2. Step 2: Convert to fraction form
    684.28/1,471.22 = 1,471.22/x
  3. Step 3: Cross multiply
    684.28x = 1,471.22 × 1,471.22
  4. Step 4: Simplify right side
    684.28x = 2,164,484.61
  5. Step 5: Solve for x
    x = 2,164,484.61/684.28
  6. Step 6: Final answer
    x = 3,163.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.