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Finding the Third Proportional to 84,141 and 178,670

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Solution

The third proportional to 84,141 and 178,670 is: 379,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141 : 178,670 = 178,670 : x
  2. Step 2: Convert to fraction form
    84,141/178,670 = 178,670/x
  3. Step 3: Cross multiply
    84,141x = 178,670 × 178,670
  4. Step 4: Simplify right side
    84,141x = 31,922,968,900
  5. Step 5: Solve for x
    x = 31,922,968,900/84,141
  6. Step 6: Final answer
    x = 379,398.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.