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Finding the Third Proportional to 81,699 and 170,879

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Solution

The third proportional to 81,699 and 170,879 is: 357,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,699 : 170,879 = 170,879 : x
  2. Step 2: Convert to fraction form
    81,699/170,879 = 170,879/x
  3. Step 3: Cross multiply
    81,699x = 170,879 × 170,879
  4. Step 4: Simplify right side
    81,699x = 29,199,632,641
  5. Step 5: Solve for x
    x = 29,199,632,641/81,699
  6. Step 6: Final answer
    x = 357,405.02

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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.