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Finding the Third Proportional to 448,189.50 and 967,686

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Solution

The third proportional to 448,189.50 and 967,686 is: 2,089,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,189.50 : 967,686 = 967,686 : x
  2. Step 2: Convert to fraction form
    448,189.50/967,686 = 967,686/x
  3. Step 3: Cross multiply
    448,189.50x = 967,686 × 967,686
  4. Step 4: Simplify right side
    448,189.50x = 936,416,194,596
  5. Step 5: Solve for x
    x = 936,416,194,596/448,189.50
  6. Step 6: Final answer
    x = 2,089,330.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.