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Finding the Third Proportional to 297,086 and 445,557

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Solution

The third proportional to 297,086 and 445,557 is: 668,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,086 : 445,557 = 445,557 : x
  2. Step 2: Convert to fraction form
    297,086/445,557 = 445,557/x
  3. Step 3: Cross multiply
    297,086x = 445,557 × 445,557
  4. Step 4: Simplify right side
    297,086x = 198,521,040,249
  5. Step 5: Solve for x
    x = 198,521,040,249/297,086
  6. Step 6: Final answer
    x = 668,227.52

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Why These Related Problems?

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