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Finding the Third Proportional to 81,490.50 and 126,075

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Solution

The third proportional to 81,490.50 and 126,075 is: 195,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,490.50 : 126,075 = 126,075 : x
  2. Step 2: Convert to fraction form
    81,490.50/126,075 = 126,075/x
  3. Step 3: Cross multiply
    81,490.50x = 126,075 × 126,075
  4. Step 4: Simplify right side
    81,490.50x = 15,894,905,625
  5. Step 5: Solve for x
    x = 15,894,905,625/81,490.50
  6. Step 6: Final answer
    x = 195,052.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.