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Finding the Third Proportional to 133,032 and 295,625

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Solution

The third proportional to 133,032 and 295,625 is: 656,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 295,625 = 295,625 : x
  2. Step 2: Convert to fraction form
    133,032/295,625 = 295,625/x
  3. Step 3: Cross multiply
    133,032x = 295,625 × 295,625
  4. Step 4: Simplify right side
    133,032x = 87,394,140,625
  5. Step 5: Solve for x
    x = 87,394,140,625/133,032
  6. Step 6: Final answer
    x = 656,940.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.