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Finding the Third Proportional to 79,618 and 171,668

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Solution

The third proportional to 79,618 and 171,668 is: 370,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,618 : 171,668 = 171,668 : x
  2. Step 2: Convert to fraction form
    79,618/171,668 = 171,668/x
  3. Step 3: Cross multiply
    79,618x = 171,668 × 171,668
  4. Step 4: Simplify right side
    79,618x = 29,469,902,224
  5. Step 5: Solve for x
    x = 29,469,902,224/79,618
  6. Step 6: Final answer
    x = 370,141.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.