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Finding the Third Proportional to 445,116 and 989,742

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Solution

The third proportional to 445,116 and 989,742 is: 2,200,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,116 : 989,742 = 989,742 : x
  2. Step 2: Convert to fraction form
    445,116/989,742 = 989,742/x
  3. Step 3: Cross multiply
    445,116x = 989,742 × 989,742
  4. Step 4: Simplify right side
    445,116x = 979,589,226,564
  5. Step 5: Solve for x
    x = 979,589,226,564/445,116
  6. Step 6: Final answer
    x = 2,200,750.43

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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.