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Finding the Third Proportional to 276,842 and 395,881

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Solution

The third proportional to 276,842 and 395,881 is: 566,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,842 : 395,881 = 395,881 : x
  2. Step 2: Convert to fraction form
    276,842/395,881 = 395,881/x
  3. Step 3: Cross multiply
    276,842x = 395,881 × 395,881
  4. Step 4: Simplify right side
    276,842x = 156,721,766,161
  5. Step 5: Solve for x
    x = 156,721,766,161/276,842
  6. Step 6: Final answer
    x = 566,105.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.