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Finding the Third Proportional to 863.63 and 1,611.19

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Solution

The third proportional to 863.63 and 1,611.19 is: 3,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.63 : 1,611.19 = 1,611.19 : x
  2. Step 2: Convert to fraction form
    863.63/1,611.19 = 1,611.19/x
  3. Step 3: Cross multiply
    863.63x = 1,611.19 × 1,611.19
  4. Step 4: Simplify right side
    863.63x = 2,595,925.16
  5. Step 5: Solve for x
    x = 2,595,925.16/863.63
  6. Step 6: Final answer
    x = 3,005.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.