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Finding the Third Proportional to 122,364 and 194,690

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Solution

The third proportional to 122,364 and 194,690 is: 309,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,364 : 194,690 = 194,690 : x
  2. Step 2: Convert to fraction form
    122,364/194,690 = 194,690/x
  3. Step 3: Cross multiply
    122,364x = 194,690 × 194,690
  4. Step 4: Simplify right side
    122,364x = 37,904,196,100
  5. Step 5: Solve for x
    x = 37,904,196,100/122,364
  6. Step 6: Final answer
    x = 309,765.91

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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.