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Finding the Third Proportional to 298,082 and 649,696

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Solution

The third proportional to 298,082 and 649,696 is: 1,416,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082 : 649,696 = 649,696 : x
  2. Step 2: Convert to fraction form
    298,082/649,696 = 649,696/x
  3. Step 3: Cross multiply
    298,082x = 649,696 × 649,696
  4. Step 4: Simplify right side
    298,082x = 422,104,892,416
  5. Step 5: Solve for x
    x = 422,104,892,416/298,082
  6. Step 6: Final answer
    x = 1,416,069.71

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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.