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Finding the Third Proportional to 306,180 and 664,848

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Solution

The third proportional to 306,180 and 664,848 is: 1,443,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,180 : 664,848 = 664,848 : x
  2. Step 2: Convert to fraction form
    306,180/664,848 = 664,848/x
  3. Step 3: Cross multiply
    306,180x = 664,848 × 664,848
  4. Step 4: Simplify right side
    306,180x = 442,022,863,104
  5. Step 5: Solve for x
    x = 442,022,863,104/306,180
  6. Step 6: Final answer
    x = 1,443,669.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.