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Finding the Third Proportional to 8,765.09 and 18,969.66

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Solution

The third proportional to 8,765.09 and 18,969.66 is: 41,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.09 : 18,969.66 = 18,969.66 : x
  2. Step 2: Convert to fraction form
    8,765.09/18,969.66 = 18,969.66/x
  3. Step 3: Cross multiply
    8,765.09x = 18,969.66 × 18,969.66
  4. Step 4: Simplify right side
    8,765.09x = 359,848,080.54
  5. Step 5: Solve for x
    x = 359,848,080.54/8,765.09
  6. Step 6: Final answer
    x = 41,054.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.