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Finding the Third Proportional to 298,053 and 649,647

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Solution

The third proportional to 298,053 and 649,647 is: 1,415,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,053 : 649,647 = 649,647 : x
  2. Step 2: Convert to fraction form
    298,053/649,647 = 649,647/x
  3. Step 3: Cross multiply
    298,053x = 649,647 × 649,647
  4. Step 4: Simplify right side
    298,053x = 422,041,224,609
  5. Step 5: Solve for x
    x = 422,041,224,609/298,053
  6. Step 6: Final answer
    x = 1,415,993.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.