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Finding the Third Proportional to 133,200 and 197,775

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Solution

The third proportional to 133,200 and 197,775 is: 293,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,200 : 197,775 = 197,775 : x
  2. Step 2: Convert to fraction form
    133,200/197,775 = 197,775/x
  3. Step 3: Cross multiply
    133,200x = 197,775 × 197,775
  4. Step 4: Simplify right side
    133,200x = 39,114,950,625
  5. Step 5: Solve for x
    x = 39,114,950,625/133,200
  6. Step 6: Final answer
    x = 293,655.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.