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Finding the Third Proportional to 444,852 and 978,263

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Solution

The third proportional to 444,852 and 978,263 is: 2,151,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,852 : 978,263 = 978,263 : x
  2. Step 2: Convert to fraction form
    444,852/978,263 = 978,263/x
  3. Step 3: Cross multiply
    444,852x = 978,263 × 978,263
  4. Step 4: Simplify right side
    444,852x = 956,998,497,169
  5. Step 5: Solve for x
    x = 956,998,497,169/444,852
  6. Step 6: Final answer
    x = 2,151,273.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.