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Finding the Third Proportional to 80,212.78 and 174,282.26

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Solution

The third proportional to 80,212.78 and 174,282.26 is: 378,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,212.78 : 174,282.26 = 174,282.26 : x
  2. Step 2: Convert to fraction form
    80,212.78/174,282.26 = 174,282.26/x
  3. Step 3: Cross multiply
    80,212.78x = 174,282.26 × 174,282.26
  4. Step 4: Simplify right side
    80,212.78x = 30,374,305,388.22
  5. Step 5: Solve for x
    x = 30,374,305,388.22/80,212.78
  6. Step 6: Final answer
    x = 378,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.