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Finding the Third Proportional to 173,869 and 211,185

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Solution

The third proportional to 173,869 and 211,185 is: 256,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 211,185 = 211,185 : x
  2. Step 2: Convert to fraction form
    173,869/211,185 = 211,185/x
  3. Step 3: Cross multiply
    173,869x = 211,185 × 211,185
  4. Step 4: Simplify right side
    173,869x = 44,599,104,225
  5. Step 5: Solve for x
    x = 44,599,104,225/173,869
  6. Step 6: Final answer
    x = 256,509.81

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.