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Finding the Third Proportional to 444,848 and 978,236

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Solution

The third proportional to 444,848 and 978,236 is: 2,151,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,848 : 978,236 = 978,236 : x
  2. Step 2: Convert to fraction form
    444,848/978,236 = 978,236/x
  3. Step 3: Cross multiply
    444,848x = 978,236 × 978,236
  4. Step 4: Simplify right side
    444,848x = 956,945,671,696
  5. Step 5: Solve for x
    x = 956,945,671,696/444,848
  6. Step 6: Final answer
    x = 2,151,174.49

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