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Finding the Third Proportional to 307,266 and 670,809

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Solution

The third proportional to 307,266 and 670,809 is: 1,464,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,266 : 670,809 = 670,809 : x
  2. Step 2: Convert to fraction form
    307,266/670,809 = 670,809/x
  3. Step 3: Cross multiply
    307,266x = 670,809 × 670,809
  4. Step 4: Simplify right side
    307,266x = 449,984,714,481
  5. Step 5: Solve for x
    x = 449,984,714,481/307,266
  6. Step 6: Final answer
    x = 1,464,479.36

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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.