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Finding the Third Proportional to 11,188.63 and 15,684.38

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Solution

The third proportional to 11,188.63 and 15,684.38 is: 21,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.63 : 15,684.38 = 15,684.38 : x
  2. Step 2: Convert to fraction form
    11,188.63/15,684.38 = 15,684.38/x
  3. Step 3: Cross multiply
    11,188.63x = 15,684.38 × 15,684.38
  4. Step 4: Simplify right side
    11,188.63x = 245,999,619.14
  5. Step 5: Solve for x
    x = 245,999,619.14/11,188.63
  6. Step 6: Final answer
    x = 21,986.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.