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Finding the Third Proportional to 161,749 and 351,838

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Solution

The third proportional to 161,749 and 351,838 is: 765,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,749 : 351,838 = 351,838 : x
  2. Step 2: Convert to fraction form
    161,749/351,838 = 351,838/x
  3. Step 3: Cross multiply
    161,749x = 351,838 × 351,838
  4. Step 4: Simplify right side
    161,749x = 123,789,978,244
  5. Step 5: Solve for x
    x = 123,789,978,244/161,749
  6. Step 6: Final answer
    x = 765,321.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.