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Finding the Third Proportional to 318,174 and 445,977

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Solution

The third proportional to 318,174 and 445,977 is: 625,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,174 : 445,977 = 445,977 : x
  2. Step 2: Convert to fraction form
    318,174/445,977 = 445,977/x
  3. Step 3: Cross multiply
    318,174x = 445,977 × 445,977
  4. Step 4: Simplify right side
    318,174x = 198,895,484,529
  5. Step 5: Solve for x
    x = 198,895,484,529/318,174
  6. Step 6: Final answer
    x = 625,115.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.