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Finding the Third Proportional to 161,869 and 355,859

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Solution

The third proportional to 161,869 and 355,859 is: 782,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869 : 355,859 = 355,859 : x
  2. Step 2: Convert to fraction form
    161,869/355,859 = 355,859/x
  3. Step 3: Cross multiply
    161,869x = 355,859 × 355,859
  4. Step 4: Simplify right side
    161,869x = 126,635,627,881
  5. Step 5: Solve for x
    x = 126,635,627,881/161,869
  6. Step 6: Final answer
    x = 782,334.03

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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.