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Finding the Third Proportional to 81,380 and 167,988

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Solution

The third proportional to 81,380 and 167,988 is: 346,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,380 : 167,988 = 167,988 : x
  2. Step 2: Convert to fraction form
    81,380/167,988 = 167,988/x
  3. Step 3: Cross multiply
    81,380x = 167,988 × 167,988
  4. Step 4: Simplify right side
    81,380x = 28,219,968,144
  5. Step 5: Solve for x
    x = 28,219,968,144/81,380
  6. Step 6: Final answer
    x = 346,767.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.