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Finding the Third Proportional to 80,969 and 178,006

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Solution

The third proportional to 80,969 and 178,006 is: 391,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969 : 178,006 = 178,006 : x
  2. Step 2: Convert to fraction form
    80,969/178,006 = 178,006/x
  3. Step 3: Cross multiply
    80,969x = 178,006 × 178,006
  4. Step 4: Simplify right side
    80,969x = 31,686,136,036
  5. Step 5: Solve for x
    x = 31,686,136,036/80,969
  6. Step 6: Final answer
    x = 391,336.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.