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Finding the Third Proportional to 81,899 and 178,621

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Solution

The third proportional to 81,899 and 178,621 is: 389,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,899 : 178,621 = 178,621 : x
  2. Step 2: Convert to fraction form
    81,899/178,621 = 178,621/x
  3. Step 3: Cross multiply
    81,899x = 178,621 × 178,621
  4. Step 4: Simplify right side
    81,899x = 31,905,461,641
  5. Step 5: Solve for x
    x = 31,905,461,641/81,899
  6. Step 6: Final answer
    x = 389,570.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.