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Finding the Third Proportional to 178,305 and 261,999

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Solution

The third proportional to 178,305 and 261,999 is: 384,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305 : 261,999 = 261,999 : x
  2. Step 2: Convert to fraction form
    178,305/261,999 = 261,999/x
  3. Step 3: Cross multiply
    178,305x = 261,999 × 261,999
  4. Step 4: Simplify right side
    178,305x = 68,643,476,001
  5. Step 5: Solve for x
    x = 68,643,476,001/178,305
  6. Step 6: Final answer
    x = 384,977.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.