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Finding the Third Proportional to 307,619 and 664,306

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Solution

The third proportional to 307,619 and 664,306 is: 1,434,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,619 : 664,306 = 664,306 : x
  2. Step 2: Convert to fraction form
    307,619/664,306 = 664,306/x
  3. Step 3: Cross multiply
    307,619x = 664,306 × 664,306
  4. Step 4: Simplify right side
    307,619x = 441,302,461,636
  5. Step 5: Solve for x
    x = 441,302,461,636/307,619
  6. Step 6: Final answer
    x = 1,434,574.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.