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Finding the Third Proportional to 307,191 and 673,431

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Solution

The third proportional to 307,191 and 673,431 is: 1,476,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,191 : 673,431 = 673,431 : x
  2. Step 2: Convert to fraction form
    307,191/673,431 = 673,431/x
  3. Step 3: Cross multiply
    307,191x = 673,431 × 673,431
  4. Step 4: Simplify right side
    307,191x = 453,509,311,761
  5. Step 5: Solve for x
    x = 453,509,311,761/307,191
  6. Step 6: Final answer
    x = 1,476,310.54

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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.