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Finding the Third Proportional to 298,298 and 451,794

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Solution

The third proportional to 298,298 and 451,794 is: 684,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,298 : 451,794 = 451,794 : x
  2. Step 2: Convert to fraction form
    298,298/451,794 = 451,794/x
  3. Step 3: Cross multiply
    298,298x = 451,794 × 451,794
  4. Step 4: Simplify right side
    298,298x = 204,117,818,436
  5. Step 5: Solve for x
    x = 204,117,818,436/298,298
  6. Step 6: Final answer
    x = 684,274.85

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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.