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Finding the Third Proportional to 209,928 and 447,888

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Solution

The third proportional to 209,928 and 447,888 is: 955,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,928 : 447,888 = 447,888 : x
  2. Step 2: Convert to fraction form
    209,928/447,888 = 447,888/x
  3. Step 3: Cross multiply
    209,928x = 447,888 × 447,888
  4. Step 4: Simplify right side
    209,928x = 200,603,660,544
  5. Step 5: Solve for x
    x = 200,603,660,544/209,928
  6. Step 6: Final answer
    x = 955,583.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.