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Finding the Third Proportional to 76,990 and 168,692

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Solution

The third proportional to 76,990 and 168,692 is: 369,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990 : 168,692 = 168,692 : x
  2. Step 2: Convert to fraction form
    76,990/168,692 = 168,692/x
  3. Step 3: Cross multiply
    76,990x = 168,692 × 168,692
  4. Step 4: Simplify right side
    76,990x = 28,456,990,864
  5. Step 5: Solve for x
    x = 28,456,990,864/76,990
  6. Step 6: Final answer
    x = 369,619.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.