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Finding the Third Proportional to 30,190.50 and 81,436.50

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Solution

The third proportional to 30,190.50 and 81,436.50 is: 219,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190.50 : 81,436.50 = 81,436.50 : x
  2. Step 2: Convert to fraction form
    30,190.50/81,436.50 = 81,436.50/x
  3. Step 3: Cross multiply
    30,190.50x = 81,436.50 × 81,436.50
  4. Step 4: Simplify right side
    30,190.50x = 6,631,903,532.25
  5. Step 5: Solve for x
    x = 6,631,903,532.25/30,190.50
  6. Step 6: Final answer
    x = 219,668.56

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.