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Finding the Third Proportional to 84,856 and 182,828

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Solution

The third proportional to 84,856 and 182,828 is: 393,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,856 : 182,828 = 182,828 : x
  2. Step 2: Convert to fraction form
    84,856/182,828 = 182,828/x
  3. Step 3: Cross multiply
    84,856x = 182,828 × 182,828
  4. Step 4: Simplify right side
    84,856x = 33,426,077,584
  5. Step 5: Solve for x
    x = 33,426,077,584/84,856
  6. Step 6: Final answer
    x = 393,915.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.