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Finding the Third Proportional to 7,844.34 and 11,918.39

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Solution

The third proportional to 7,844.34 and 11,918.39 is: 18,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.34 : 11,918.39 = 11,918.39 : x
  2. Step 2: Convert to fraction form
    7,844.34/11,918.39 = 11,918.39/x
  3. Step 3: Cross multiply
    7,844.34x = 11,918.39 × 11,918.39
  4. Step 4: Simplify right side
    7,844.34x = 142,048,035.09
  5. Step 5: Solve for x
    x = 142,048,035.09/7,844.34
  6. Step 6: Final answer
    x = 18,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.