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Finding the Third Proportional to 82,638 and 170,168

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Solution

The third proportional to 82,638 and 170,168 is: 350,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638 : 170,168 = 170,168 : x
  2. Step 2: Convert to fraction form
    82,638/170,168 = 170,168/x
  3. Step 3: Cross multiply
    82,638x = 170,168 × 170,168
  4. Step 4: Simplify right side
    82,638x = 28,957,148,224
  5. Step 5: Solve for x
    x = 28,957,148,224/82,638
  6. Step 6: Final answer
    x = 350,409.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.