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Finding the Third Proportional to 77,686 and 170,600

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Solution

The third proportional to 77,686 and 170,600 is: 374,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686 : 170,600 = 170,600 : x
  2. Step 2: Convert to fraction form
    77,686/170,600 = 170,600/x
  3. Step 3: Cross multiply
    77,686x = 170,600 × 170,600
  4. Step 4: Simplify right side
    77,686x = 29,104,360,000
  5. Step 5: Solve for x
    x = 29,104,360,000/77,686
  6. Step 6: Final answer
    x = 374,640.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.