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Finding the Third Proportional to 100,404.69 and 133,857.94

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Solution

The third proportional to 100,404.69 and 133,857.94 is: 178,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404.69 : 133,857.94 = 133,857.94 : x
  2. Step 2: Convert to fraction form
    100,404.69/133,857.94 = 133,857.94/x
  3. Step 3: Cross multiply
    100,404.69x = 133,857.94 × 133,857.94
  4. Step 4: Simplify right side
    100,404.69x = 17,917,947,431.75
  5. Step 5: Solve for x
    x = 17,917,947,431.75/100,404.69
  6. Step 6: Final answer
    x = 178,457.28

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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.