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Finding the Third Proportional to 445,084 and 989,678

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Solution

The third proportional to 445,084 and 989,678 is: 2,200,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,084 : 989,678 = 989,678 : x
  2. Step 2: Convert to fraction form
    445,084/989,678 = 989,678/x
  3. Step 3: Cross multiply
    445,084x = 989,678 × 989,678
  4. Step 4: Simplify right side
    445,084x = 979,462,543,684
  5. Step 5: Solve for x
    x = 979,462,543,684/445,084
  6. Step 6: Final answer
    x = 2,200,624.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.