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Finding the Third Proportional to 53,739 and 126,401

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Solution

The third proportional to 53,739 and 126,401 is: 297,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,739 : 126,401 = 126,401 : x
  2. Step 2: Convert to fraction form
    53,739/126,401 = 126,401/x
  3. Step 3: Cross multiply
    53,739x = 126,401 × 126,401
  4. Step 4: Simplify right side
    53,739x = 15,977,212,801
  5. Step 5: Solve for x
    x = 15,977,212,801/53,739
  6. Step 6: Final answer
    x = 297,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.