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Finding the Third Proportional to 86,705 and 188,173

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Solution

The third proportional to 86,705 and 188,173 is: 408,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,705 : 188,173 = 188,173 : x
  2. Step 2: Convert to fraction form
    86,705/188,173 = 188,173/x
  3. Step 3: Cross multiply
    86,705x = 188,173 × 188,173
  4. Step 4: Simplify right side
    86,705x = 35,409,077,929
  5. Step 5: Solve for x
    x = 35,409,077,929/86,705
  6. Step 6: Final answer
    x = 408,385.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.