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Finding the Third Proportional to 103,619 and 164,621

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Solution

The third proportional to 103,619 and 164,621 is: 261,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 164,621 = 164,621 : x
  2. Step 2: Convert to fraction form
    103,619/164,621 = 164,621/x
  3. Step 3: Cross multiply
    103,619x = 164,621 × 164,621
  4. Step 4: Simplify right side
    103,619x = 27,100,073,641
  5. Step 5: Solve for x
    x = 27,100,073,641/103,619
  6. Step 6: Final answer
    x = 261,535.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.