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Finding the Third Proportional to 307,326 and 670,683

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Solution

The third proportional to 307,326 and 670,683 is: 1,463,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,326 : 670,683 = 670,683 : x
  2. Step 2: Convert to fraction form
    307,326/670,683 = 670,683/x
  3. Step 3: Cross multiply
    307,326x = 670,683 × 670,683
  4. Step 4: Simplify right side
    307,326x = 449,815,686,489
  5. Step 5: Solve for x
    x = 449,815,686,489/307,326
  6. Step 6: Final answer
    x = 1,463,643.45

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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.