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Finding the Third Proportional to 298,416 and 641,004

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Solution

The third proportional to 298,416 and 641,004 is: 1,376,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416 : 641,004 = 641,004 : x
  2. Step 2: Convert to fraction form
    298,416/641,004 = 641,004/x
  3. Step 3: Cross multiply
    298,416x = 641,004 × 641,004
  4. Step 4: Simplify right side
    298,416x = 410,886,128,016
  5. Step 5: Solve for x
    x = 410,886,128,016/298,416
  6. Step 6: Final answer
    x = 1,376,890.41

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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.