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Finding the Third Proportional to 444,865 and 978,289

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Solution

The third proportional to 444,865 and 978,289 is: 2,151,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,865 : 978,289 = 978,289 : x
  2. Step 2: Convert to fraction form
    444,865/978,289 = 978,289/x
  3. Step 3: Cross multiply
    444,865x = 978,289 × 978,289
  4. Step 4: Simplify right side
    444,865x = 957,049,367,521
  5. Step 5: Solve for x
    x = 957,049,367,521/444,865
  6. Step 6: Final answer
    x = 2,151,325.39

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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.