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Finding the Third Proportional to 161,949 and 355,782

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Solution

The third proportional to 161,949 and 355,782 is: 781,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,949 : 355,782 = 355,782 : x
  2. Step 2: Convert to fraction form
    161,949/355,782 = 355,782/x
  3. Step 3: Cross multiply
    161,949x = 355,782 × 355,782
  4. Step 4: Simplify right side
    161,949x = 126,580,831,524
  5. Step 5: Solve for x
    x = 126,580,831,524/161,949
  6. Step 6: Final answer
    x = 781,609.22

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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.