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Finding the Third Proportional to 79,378 and 170,266

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Solution

The third proportional to 79,378 and 170,266 is: 365,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,378 : 170,266 = 170,266 : x
  2. Step 2: Convert to fraction form
    79,378/170,266 = 170,266/x
  3. Step 3: Cross multiply
    79,378x = 170,266 × 170,266
  4. Step 4: Simplify right side
    79,378x = 28,990,510,756
  5. Step 5: Solve for x
    x = 28,990,510,756/79,378
  6. Step 6: Final answer
    x = 365,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.