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Finding the Third Proportional to 446,420 and 673,655

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Solution

The third proportional to 446,420 and 673,655 is: 1,016,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,420 : 673,655 = 673,655 : x
  2. Step 2: Convert to fraction form
    446,420/673,655 = 673,655/x
  3. Step 3: Cross multiply
    446,420x = 673,655 × 673,655
  4. Step 4: Simplify right side
    446,420x = 453,811,059,025
  5. Step 5: Solve for x
    x = 453,811,059,025/446,420
  6. Step 6: Final answer
    x = 1,016,556.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.