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Finding the Third Proportional to 444,832 and 978,207

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Solution

The third proportional to 444,832 and 978,207 is: 2,151,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,832 : 978,207 = 978,207 : x
  2. Step 2: Convert to fraction form
    444,832/978,207 = 978,207/x
  3. Step 3: Cross multiply
    444,832x = 978,207 × 978,207
  4. Step 4: Simplify right side
    444,832x = 956,888,934,849
  5. Step 5: Solve for x
    x = 956,888,934,849/444,832
  6. Step 6: Final answer
    x = 2,151,124.32

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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.