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Finding the Third Proportional to 338,022 and 685,377.75

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Solution

The third proportional to 338,022 and 685,377.75 is: 1,389,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,022 : 685,377.75 = 685,377.75 : x
  2. Step 2: Convert to fraction form
    338,022/685,377.75 = 685,377.75/x
  3. Step 3: Cross multiply
    338,022x = 685,377.75 × 685,377.75
  4. Step 4: Simplify right side
    338,022x = 469,742,660,195.06
  5. Step 5: Solve for x
    x = 469,742,660,195.06/338,022
  6. Step 6: Final answer
    x = 1,389,680.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.