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Finding the Third Proportional to 161,868 and 355,857

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Solution

The third proportional to 161,868 and 355,857 is: 782,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,868 : 355,857 = 355,857 : x
  2. Step 2: Convert to fraction form
    161,868/355,857 = 355,857/x
  3. Step 3: Cross multiply
    161,868x = 355,857 × 355,857
  4. Step 4: Simplify right side
    161,868x = 126,634,204,449
  5. Step 5: Solve for x
    x = 126,634,204,449/161,868
  6. Step 6: Final answer
    x = 782,330.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.