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Finding the Third Proportional to 76,858 and 162,836

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Solution

The third proportional to 76,858 and 162,836 is: 344,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858 : 162,836 = 162,836 : x
  2. Step 2: Convert to fraction form
    76,858/162,836 = 162,836/x
  3. Step 3: Cross multiply
    76,858x = 162,836 × 162,836
  4. Step 4: Simplify right side
    76,858x = 26,515,562,896
  5. Step 5: Solve for x
    x = 26,515,562,896/76,858
  6. Step 6: Final answer
    x = 344,994.18

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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.