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Finding the Third Proportional to 442,809 and 669,456

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Solution

The third proportional to 442,809 and 669,456 is: 1,012,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,809 : 669,456 = 669,456 : x
  2. Step 2: Convert to fraction form
    442,809/669,456 = 669,456/x
  3. Step 3: Cross multiply
    442,809x = 669,456 × 669,456
  4. Step 4: Simplify right side
    442,809x = 448,171,335,936
  5. Step 5: Solve for x
    x = 448,171,335,936/442,809
  6. Step 6: Final answer
    x = 1,012,109.82

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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.