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Finding the Third Proportional to 299,842 and 644,148

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Solution

The third proportional to 299,842 and 644,148 is: 1,383,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,842 : 644,148 = 644,148 : x
  2. Step 2: Convert to fraction form
    299,842/644,148 = 644,148/x
  3. Step 3: Cross multiply
    299,842x = 644,148 × 644,148
  4. Step 4: Simplify right side
    299,842x = 414,926,645,904
  5. Step 5: Solve for x
    x = 414,926,645,904/299,842
  6. Step 6: Final answer
    x = 1,383,817.63

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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.