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Finding the Third Proportional to 107,780 and 163,161

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Solution

The third proportional to 107,780 and 163,161 is: 246,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,780 : 163,161 = 163,161 : x
  2. Step 2: Convert to fraction form
    107,780/163,161 = 163,161/x
  3. Step 3: Cross multiply
    107,780x = 163,161 × 163,161
  4. Step 4: Simplify right side
    107,780x = 26,621,511,921
  5. Step 5: Solve for x
    x = 26,621,511,921/107,780
  6. Step 6: Final answer
    x = 246,998.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.