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Finding the Third Proportional to 447,928.50 and 979,942.50

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Solution

The third proportional to 447,928.50 and 979,942.50 is: 2,143,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,928.50 : 979,942.50 = 979,942.50 : x
  2. Step 2: Convert to fraction form
    447,928.50/979,942.50 = 979,942.50/x
  3. Step 3: Cross multiply
    447,928.50x = 979,942.50 × 979,942.50
  4. Step 4: Simplify right side
    447,928.50x = 960,287,303,306.25
  5. Step 5: Solve for x
    x = 960,287,303,306.25/447,928.50
  6. Step 6: Final answer
    x = 2,143,840.60

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Why These Related Problems?

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