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Finding the Third Proportional to 307,125 and 664,182

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Solution

The third proportional to 307,125 and 664,182 is: 1,436,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,125 : 664,182 = 664,182 : x
  2. Step 2: Convert to fraction form
    307,125/664,182 = 664,182/x
  3. Step 3: Cross multiply
    307,125x = 664,182 × 664,182
  4. Step 4: Simplify right side
    307,125x = 441,137,729,124
  5. Step 5: Solve for x
    x = 441,137,729,124/307,125
  6. Step 6: Final answer
    x = 1,436,345.88

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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.