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Finding the Third Proportional to 446,286 and 983,106

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Solution

The third proportional to 446,286 and 983,106 is: 2,165,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,286 : 983,106 = 983,106 : x
  2. Step 2: Convert to fraction form
    446,286/983,106 = 983,106/x
  3. Step 3: Cross multiply
    446,286x = 983,106 × 983,106
  4. Step 4: Simplify right side
    446,286x = 966,497,407,236
  5. Step 5: Solve for x
    x = 966,497,407,236/446,286
  6. Step 6: Final answer
    x = 2,165,645.81

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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.