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Finding the Third Proportional to 450,626.63 and 965,220.75

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Solution

The third proportional to 450,626.63 and 965,220.75 is: 2,067,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,626.63 : 965,220.75 = 965,220.75 : x
  2. Step 2: Convert to fraction form
    450,626.63/965,220.75 = 965,220.75/x
  3. Step 3: Cross multiply
    450,626.63x = 965,220.75 × 965,220.75
  4. Step 4: Simplify right side
    450,626.63x = 931,651,096,230.56
  5. Step 5: Solve for x
    x = 931,651,096,230.56/450,626.63
  6. Step 6: Final answer
    x = 2,067,456.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.