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Finding the Third Proportional to 298,834 and 647,444

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Solution

The third proportional to 298,834 and 647,444 is: 1,402,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,834 : 647,444 = 647,444 : x
  2. Step 2: Convert to fraction form
    298,834/647,444 = 647,444/x
  3. Step 3: Cross multiply
    298,834x = 647,444 × 647,444
  4. Step 4: Simplify right side
    298,834x = 419,183,733,136
  5. Step 5: Solve for x
    x = 419,183,733,136/298,834
  6. Step 6: Final answer
    x = 1,402,731.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.