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Finding the Third Proportional to 161,820 and 351,873

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Solution

The third proportional to 161,820 and 351,873 is: 765,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,820 : 351,873 = 351,873 : x
  2. Step 2: Convert to fraction form
    161,820/351,873 = 351,873/x
  3. Step 3: Cross multiply
    161,820x = 351,873 × 351,873
  4. Step 4: Simplify right side
    161,820x = 123,814,608,129
  5. Step 5: Solve for x
    x = 123,814,608,129/161,820
  6. Step 6: Final answer
    x = 765,137.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.