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Finding the Third Proportional to 863.79 and 1,451.36

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Solution

The third proportional to 863.79 and 1,451.36 is: 2,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.79 : 1,451.36 = 1,451.36 : x
  2. Step 2: Convert to fraction form
    863.79/1,451.36 = 1,451.36/x
  3. Step 3: Cross multiply
    863.79x = 1,451.36 × 1,451.36
  4. Step 4: Simplify right side
    863.79x = 2,106,432.70
  5. Step 5: Solve for x
    x = 2,106,432.70/863.79
  6. Step 6: Final answer
    x = 2,438.60

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.