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Finding the Third Proportional to 86,646 and 179,868

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Solution

The third proportional to 86,646 and 179,868 is: 373,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646 : 179,868 = 179,868 : x
  2. Step 2: Convert to fraction form
    86,646/179,868 = 179,868/x
  3. Step 3: Cross multiply
    86,646x = 179,868 × 179,868
  4. Step 4: Simplify right side
    86,646x = 32,352,497,424
  5. Step 5: Solve for x
    x = 32,352,497,424/86,646
  6. Step 6: Final answer
    x = 373,387.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.