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Finding the Third Proportional to 306,371 and 673,218

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Solution

The third proportional to 306,371 and 673,218 is: 1,479,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,371 : 673,218 = 673,218 : x
  2. Step 2: Convert to fraction form
    306,371/673,218 = 673,218/x
  3. Step 3: Cross multiply
    306,371x = 673,218 × 673,218
  4. Step 4: Simplify right side
    306,371x = 453,222,475,524
  5. Step 5: Solve for x
    x = 453,222,475,524/306,371
  6. Step 6: Final answer
    x = 1,479,325.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.