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Finding the Third Proportional to 307,205 and 673,456

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Solution

The third proportional to 307,205 and 673,456 is: 1,476,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,205 : 673,456 = 673,456 : x
  2. Step 2: Convert to fraction form
    307,205/673,456 = 673,456/x
  3. Step 3: Cross multiply
    307,205x = 673,456 × 673,456
  4. Step 4: Simplify right side
    307,205x = 453,542,983,936
  5. Step 5: Solve for x
    x = 453,542,983,936/307,205
  6. Step 6: Final answer
    x = 1,476,352.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.