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Finding the Third Proportional to 275,738 and 442,401

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Solution

The third proportional to 275,738 and 442,401 is: 709,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,738 : 442,401 = 442,401 : x
  2. Step 2: Convert to fraction form
    275,738/442,401 = 442,401/x
  3. Step 3: Cross multiply
    275,738x = 442,401 × 442,401
  4. Step 4: Simplify right side
    275,738x = 195,718,644,801
  5. Step 5: Solve for x
    x = 195,718,644,801/275,738
  6. Step 6: Final answer
    x = 709,799.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.