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Finding the Third Proportional to 308,809.10 and 669,164.33

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Solution

The third proportional to 308,809.10 and 669,164.33 is: 1,450,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,809.10 : 669,164.33 = 669,164.33 : x
  2. Step 2: Convert to fraction form
    308,809.10/669,164.33 = 669,164.33/x
  3. Step 3: Cross multiply
    308,809.10x = 669,164.33 × 669,164.33
  4. Step 4: Simplify right side
    308,809.10x = 447,780,907,183.73
  5. Step 5: Solve for x
    x = 447,780,907,183.73/308,809.10
  6. Step 6: Final answer
    x = 1,450,024.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.