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Finding the Third Proportional to 133,052 and 194,610

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Solution

The third proportional to 133,052 and 194,610 is: 284,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052 : 194,610 = 194,610 : x
  2. Step 2: Convert to fraction form
    133,052/194,610 = 194,610/x
  3. Step 3: Cross multiply
    133,052x = 194,610 × 194,610
  4. Step 4: Simplify right side
    133,052x = 37,873,052,100
  5. Step 5: Solve for x
    x = 37,873,052,100/133,052
  6. Step 6: Final answer
    x = 284,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.