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Finding the Third Proportional to 171,910.50 and 258,190.50

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Solution

The third proportional to 171,910.50 and 258,190.50 is: 387,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,910.50 : 258,190.50 = 258,190.50 : x
  2. Step 2: Convert to fraction form
    171,910.50/258,190.50 = 258,190.50/x
  3. Step 3: Cross multiply
    171,910.50x = 258,190.50 × 258,190.50
  4. Step 4: Simplify right side
    171,910.50x = 66,662,334,290.25
  5. Step 5: Solve for x
    x = 66,662,334,290.25/171,910.50
  6. Step 6: Final answer
    x = 387,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.