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Finding the Third Proportional to 300,910 and 476,025

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Solution

The third proportional to 300,910 and 476,025 is: 753,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,910 : 476,025 = 476,025 : x
  2. Step 2: Convert to fraction form
    300,910/476,025 = 476,025/x
  3. Step 3: Cross multiply
    300,910x = 476,025 × 476,025
  4. Step 4: Simplify right side
    300,910x = 226,599,800,625
  5. Step 5: Solve for x
    x = 226,599,800,625/300,910
  6. Step 6: Final answer
    x = 753,048.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.