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Finding the Third Proportional to 100,333 and 133,823

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Solution

The third proportional to 100,333 and 133,823 is: 178,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,333 : 133,823 = 133,823 : x
  2. Step 2: Convert to fraction form
    100,333/133,823 = 133,823/x
  3. Step 3: Cross multiply
    100,333x = 133,823 × 133,823
  4. Step 4: Simplify right side
    100,333x = 17,908,595,329
  5. Step 5: Solve for x
    x = 17,908,595,329/100,333
  6. Step 6: Final answer
    x = 178,491.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.