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Finding the Third Proportional to 298,362 and 649,194

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Solution

The third proportional to 298,362 and 649,194 is: 1,412,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,362 : 649,194 = 649,194 : x
  2. Step 2: Convert to fraction form
    298,362/649,194 = 649,194/x
  3. Step 3: Cross multiply
    298,362x = 649,194 × 649,194
  4. Step 4: Simplify right side
    298,362x = 421,452,849,636
  5. Step 5: Solve for x
    x = 421,452,849,636/298,362
  6. Step 6: Final answer
    x = 1,412,555.38

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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.