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Finding the Third Proportional to 298,979 and 447,645

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Solution

The third proportional to 298,979 and 447,645 is: 670,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,979 : 447,645 = 447,645 : x
  2. Step 2: Convert to fraction form
    298,979/447,645 = 447,645/x
  3. Step 3: Cross multiply
    298,979x = 447,645 × 447,645
  4. Step 4: Simplify right side
    298,979x = 200,386,046,025
  5. Step 5: Solve for x
    x = 200,386,046,025/298,979
  6. Step 6: Final answer
    x = 670,234.52

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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.