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Finding the Third Proportional to 448,828 and 982,112

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Solution

The third proportional to 448,828 and 982,112 is: 2,149,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,828 : 982,112 = 982,112 : x
  2. Step 2: Convert to fraction form
    448,828/982,112 = 982,112/x
  3. Step 3: Cross multiply
    448,828x = 982,112 × 982,112
  4. Step 4: Simplify right side
    448,828x = 964,543,980,544
  5. Step 5: Solve for x
    x = 964,543,980,544/448,828
  6. Step 6: Final answer
    x = 2,149,028.09

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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.