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Finding the Third Proportional to 104,733 and 194,157

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Solution

The third proportional to 104,733 and 194,157 is: 359,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,733 : 194,157 = 194,157 : x
  2. Step 2: Convert to fraction form
    104,733/194,157 = 194,157/x
  3. Step 3: Cross multiply
    104,733x = 194,157 × 194,157
  4. Step 4: Simplify right side
    104,733x = 37,696,940,649
  5. Step 5: Solve for x
    x = 37,696,940,649/104,733
  6. Step 6: Final answer
    x = 359,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.