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Finding the Third Proportional to 161,945 and 355,774

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Solution

The third proportional to 161,945 and 355,774 is: 781,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,945 : 355,774 = 355,774 : x
  2. Step 2: Convert to fraction form
    161,945/355,774 = 355,774/x
  3. Step 3: Cross multiply
    161,945x = 355,774 × 355,774
  4. Step 4: Simplify right side
    161,945x = 126,575,139,076
  5. Step 5: Solve for x
    x = 126,575,139,076/161,945
  6. Step 6: Final answer
    x = 781,593.37

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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.