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Finding the Third Proportional to 128,770.50 and 282,144

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Solution

The third proportional to 128,770.50 and 282,144 is: 618,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770.50 : 282,144 = 282,144 : x
  2. Step 2: Convert to fraction form
    128,770.50/282,144 = 282,144/x
  3. Step 3: Cross multiply
    128,770.50x = 282,144 × 282,144
  4. Step 4: Simplify right side
    128,770.50x = 79,605,236,736
  5. Step 5: Solve for x
    x = 79,605,236,736/128,770.50
  6. Step 6: Final answer
    x = 618,194.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.