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Finding the Third Proportional to 298,546 and 447,634

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Solution

The third proportional to 298,546 and 447,634 is: 671,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,546 : 447,634 = 447,634 : x
  2. Step 2: Convert to fraction form
    298,546/447,634 = 447,634/x
  3. Step 3: Cross multiply
    298,546x = 447,634 × 447,634
  4. Step 4: Simplify right side
    298,546x = 200,376,197,956
  5. Step 5: Solve for x
    x = 200,376,197,956/298,546
  6. Step 6: Final answer
    x = 671,173.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.