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Finding the Third Proportional to 85,686 and 179,130

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Solution

The third proportional to 85,686 and 179,130 is: 374,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,686 : 179,130 = 179,130 : x
  2. Step 2: Convert to fraction form
    85,686/179,130 = 179,130/x
  3. Step 3: Cross multiply
    85,686x = 179,130 × 179,130
  4. Step 4: Simplify right side
    85,686x = 32,087,556,900
  5. Step 5: Solve for x
    x = 32,087,556,900/85,686
  6. Step 6: Final answer
    x = 374,478.41

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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.