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Finding the Third Proportional to 81,999 and 178,213

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Solution

The third proportional to 81,999 and 178,213 is: 387,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 178,213 = 178,213 : x
  2. Step 2: Convert to fraction form
    81,999/178,213 = 178,213/x
  3. Step 3: Cross multiply
    81,999x = 178,213 × 178,213
  4. Step 4: Simplify right side
    81,999x = 31,759,873,369
  5. Step 5: Solve for x
    x = 31,759,873,369/81,999
  6. Step 6: Final answer
    x = 387,320.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.