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Finding the Third Proportional to 298,638 and 644,780

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Solution

The third proportional to 298,638 and 644,780 is: 1,392,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,638 : 644,780 = 644,780 : x
  2. Step 2: Convert to fraction form
    298,638/644,780 = 644,780/x
  3. Step 3: Cross multiply
    298,638x = 644,780 × 644,780
  4. Step 4: Simplify right side
    298,638x = 415,741,248,400
  5. Step 5: Solve for x
    x = 415,741,248,400/298,638
  6. Step 6: Final answer
    x = 1,392,124.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.