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Finding the Third Proportional to 121,718 and 262,161

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Solution

The third proportional to 121,718 and 262,161 is: 564,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,718 : 262,161 = 262,161 : x
  2. Step 2: Convert to fraction form
    121,718/262,161 = 262,161/x
  3. Step 3: Cross multiply
    121,718x = 262,161 × 262,161
  4. Step 4: Simplify right side
    121,718x = 68,728,389,921
  5. Step 5: Solve for x
    x = 68,728,389,921/121,718
  6. Step 6: Final answer
    x = 564,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.