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Finding the Third Proportional to 100,855 and 133,786

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Solution

The third proportional to 100,855 and 133,786 is: 177,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855 : 133,786 = 133,786 : x
  2. Step 2: Convert to fraction form
    100,855/133,786 = 133,786/x
  3. Step 3: Cross multiply
    100,855x = 133,786 × 133,786
  4. Step 4: Simplify right side
    100,855x = 17,898,693,796
  5. Step 5: Solve for x
    x = 17,898,693,796/100,855
  6. Step 6: Final answer
    x = 177,469.57

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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.