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Finding the Third Proportional to 250,308.98 and 397,974.20

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Solution

The third proportional to 250,308.98 and 397,974.20 is: 632,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,308.98 : 397,974.20 = 397,974.20 : x
  2. Step 2: Convert to fraction form
    250,308.98/397,974.20 = 397,974.20/x
  3. Step 3: Cross multiply
    250,308.98x = 397,974.20 × 397,974.20
  4. Step 4: Simplify right side
    250,308.98x = 158,383,463,243.81
  5. Step 5: Solve for x
    x = 158,383,463,243.81/250,308.98
  6. Step 6: Final answer
    x = 632,751.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.