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Finding the Third Proportional to 82,478 and 183,844

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Solution

The third proportional to 82,478 and 183,844 is: 409,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478 : 183,844 = 183,844 : x
  2. Step 2: Convert to fraction form
    82,478/183,844 = 183,844/x
  3. Step 3: Cross multiply
    82,478x = 183,844 × 183,844
  4. Step 4: Simplify right side
    82,478x = 33,798,616,336
  5. Step 5: Solve for x
    x = 33,798,616,336/82,478
  6. Step 6: Final answer
    x = 409,789.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.