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Finding the Third Proportional to 83,390 and 170,176

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Solution

The third proportional to 83,390 and 170,176 is: 347,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,390 : 170,176 = 170,176 : x
  2. Step 2: Convert to fraction form
    83,390/170,176 = 170,176/x
  3. Step 3: Cross multiply
    83,390x = 170,176 × 170,176
  4. Step 4: Simplify right side
    83,390x = 28,959,870,976
  5. Step 5: Solve for x
    x = 28,959,870,976/83,390
  6. Step 6: Final answer
    x = 347,282.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.