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Finding the Third Proportional to 38,149 and 79,786

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Solution

The third proportional to 38,149 and 79,786 is: 166,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149 : 79,786 = 79,786 : x
  2. Step 2: Convert to fraction form
    38,149/79,786 = 79,786/x
  3. Step 3: Cross multiply
    38,149x = 79,786 × 79,786
  4. Step 4: Simplify right side
    38,149x = 6,365,805,796
  5. Step 5: Solve for x
    x = 6,365,805,796/38,149
  6. Step 6: Final answer
    x = 166,866.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.