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Finding the Third Proportional to 8,584.50 and 13,707.75

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Solution

The third proportional to 8,584.50 and 13,707.75 is: 21,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.50 : 13,707.75 = 13,707.75 : x
  2. Step 2: Convert to fraction form
    8,584.50/13,707.75 = 13,707.75/x
  3. Step 3: Cross multiply
    8,584.50x = 13,707.75 × 13,707.75
  4. Step 4: Simplify right side
    8,584.50x = 187,902,410.06
  5. Step 5: Solve for x
    x = 187,902,410.06/8,584.50
  6. Step 6: Final answer
    x = 21,888.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.