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Finding the Third Proportional to 74,859.75 and 171,809.50

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Solution

The third proportional to 74,859.75 and 171,809.50 is: 394,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.75 : 171,809.50 = 171,809.50 : x
  2. Step 2: Convert to fraction form
    74,859.75/171,809.50 = 171,809.50/x
  3. Step 3: Cross multiply
    74,859.75x = 171,809.50 × 171,809.50
  4. Step 4: Simplify right side
    74,859.75x = 29,518,504,290.25
  5. Step 5: Solve for x
    x = 29,518,504,290.25/74,859.75
  6. Step 6: Final answer
    x = 394,317.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.