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Finding the Third Proportional to 307,444 and 668,744

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Solution

The third proportional to 307,444 and 668,744 is: 1,454,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,444 : 668,744 = 668,744 : x
  2. Step 2: Convert to fraction form
    307,444/668,744 = 668,744/x
  3. Step 3: Cross multiply
    307,444x = 668,744 × 668,744
  4. Step 4: Simplify right side
    307,444x = 447,218,537,536
  5. Step 5: Solve for x
    x = 447,218,537,536/307,444
  6. Step 6: Final answer
    x = 1,454,634.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.