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Finding the Third Proportional to 5,790.75 and 11,293.50

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Solution

The third proportional to 5,790.75 and 11,293.50 is: 22,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.75 : 11,293.50 = 11,293.50 : x
  2. Step 2: Convert to fraction form
    5,790.75/11,293.50 = 11,293.50/x
  3. Step 3: Cross multiply
    5,790.75x = 11,293.50 × 11,293.50
  4. Step 4: Simplify right side
    5,790.75x = 127,543,142.25
  5. Step 5: Solve for x
    x = 127,543,142.25/5,790.75
  6. Step 6: Final answer
    x = 22,025.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.