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Finding the Third Proportional to 298,264 and 451,740

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Solution

The third proportional to 298,264 and 451,740 is: 684,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,264 : 451,740 = 451,740 : x
  2. Step 2: Convert to fraction form
    298,264/451,740 = 451,740/x
  3. Step 3: Cross multiply
    298,264x = 451,740 × 451,740
  4. Step 4: Simplify right side
    298,264x = 204,069,027,600
  5. Step 5: Solve for x
    x = 204,069,027,600/298,264
  6. Step 6: Final answer
    x = 684,189.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.