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Finding the Third Proportional to 298,674 and 649,842

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Solution

The third proportional to 298,674 and 649,842 is: 1,413,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,674 : 649,842 = 649,842 : x
  2. Step 2: Convert to fraction form
    298,674/649,842 = 649,842/x
  3. Step 3: Cross multiply
    298,674x = 649,842 × 649,842
  4. Step 4: Simplify right side
    298,674x = 422,294,624,964
  5. Step 5: Solve for x
    x = 422,294,624,964/298,674
  6. Step 6: Final answer
    x = 1,413,898.18

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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.