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Finding the Third Proportional to 122,010 and 194,102

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Solution

The third proportional to 122,010 and 194,102 is: 308,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,010 : 194,102 = 194,102 : x
  2. Step 2: Convert to fraction form
    122,010/194,102 = 194,102/x
  3. Step 3: Cross multiply
    122,010x = 194,102 × 194,102
  4. Step 4: Simplify right side
    122,010x = 37,675,586,404
  5. Step 5: Solve for x
    x = 37,675,586,404/122,010
  6. Step 6: Final answer
    x = 308,790.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.