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Finding the Third Proportional to 307,224 and 638,973

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Solution

The third proportional to 307,224 and 638,973 is: 1,328,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224 : 638,973 = 638,973 : x
  2. Step 2: Convert to fraction form
    307,224/638,973 = 638,973/x
  3. Step 3: Cross multiply
    307,224x = 638,973 × 638,973
  4. Step 4: Simplify right side
    307,224x = 408,286,494,729
  5. Step 5: Solve for x
    x = 408,286,494,729/307,224
  6. Step 6: Final answer
    x = 1,328,953.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.