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Finding the Third Proportional to 166,480 and 364,100

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Solution

The third proportional to 166,480 and 364,100 is: 796,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,480 : 364,100 = 364,100 : x
  2. Step 2: Convert to fraction form
    166,480/364,100 = 364,100/x
  3. Step 3: Cross multiply
    166,480x = 364,100 × 364,100
  4. Step 4: Simplify right side
    166,480x = 132,568,810,000
  5. Step 5: Solve for x
    x = 132,568,810,000/166,480
  6. Step 6: Final answer
    x = 796,304.72

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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.