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Finding the Third Proportional to 5,809 and 12,729.75

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Solution

The third proportional to 5,809 and 12,729.75 is: 27,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809 : 12,729.75 = 12,729.75 : x
  2. Step 2: Convert to fraction form
    5,809/12,729.75 = 12,729.75/x
  3. Step 3: Cross multiply
    5,809x = 12,729.75 × 12,729.75
  4. Step 4: Simplify right side
    5,809x = 162,046,535.06
  5. Step 5: Solve for x
    x = 162,046,535.06/5,809
  6. Step 6: Final answer
    x = 27,895.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.