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Finding the Third Proportional to 86,478 and 182,847

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Solution

The third proportional to 86,478 and 182,847 is: 386,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478 : 182,847 = 182,847 : x
  2. Step 2: Convert to fraction form
    86,478/182,847 = 182,847/x
  3. Step 3: Cross multiply
    86,478x = 182,847 × 182,847
  4. Step 4: Simplify right side
    86,478x = 33,433,025,409
  5. Step 5: Solve for x
    x = 33,433,025,409/86,478
  6. Step 6: Final answer
    x = 386,607.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.