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Finding the Third Proportional to 445,072 and 989,652

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Solution

The third proportional to 445,072 and 989,652 is: 2,200,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,072 : 989,652 = 989,652 : x
  2. Step 2: Convert to fraction form
    445,072/989,652 = 989,652/x
  3. Step 3: Cross multiply
    445,072x = 989,652 × 989,652
  4. Step 4: Simplify right side
    445,072x = 979,411,081,104
  5. Step 5: Solve for x
    x = 979,411,081,104/445,072
  6. Step 6: Final answer
    x = 2,200,567.73

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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.