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Finding the Third Proportional to 298,628 and 649,742

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Solution

The third proportional to 298,628 and 649,742 is: 1,413,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628 : 649,742 = 649,742 : x
  2. Step 2: Convert to fraction form
    298,628/649,742 = 649,742/x
  3. Step 3: Cross multiply
    298,628x = 649,742 × 649,742
  4. Step 4: Simplify right side
    298,628x = 422,164,666,564
  5. Step 5: Solve for x
    x = 422,164,666,564/298,628
  6. Step 6: Final answer
    x = 1,413,680.79

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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.