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Finding the Third Proportional to 379,299 and 814,842

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Solution

The third proportional to 379,299 and 814,842 is: 1,750,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,299 : 814,842 = 814,842 : x
  2. Step 2: Convert to fraction form
    379,299/814,842 = 814,842/x
  3. Step 3: Cross multiply
    379,299x = 814,842 × 814,842
  4. Step 4: Simplify right side
    379,299x = 663,967,484,964
  5. Step 5: Solve for x
    x = 663,967,484,964/379,299
  6. Step 6: Final answer
    x = 1,750,512.09

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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.