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Finding the Third Proportional to 150,309 and 330,678

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Solution

The third proportional to 150,309 and 330,678 is: 727,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,309 : 330,678 = 330,678 : x
  2. Step 2: Convert to fraction form
    150,309/330,678 = 330,678/x
  3. Step 3: Cross multiply
    150,309x = 330,678 × 330,678
  4. Step 4: Simplify right side
    150,309x = 109,347,939,684
  5. Step 5: Solve for x
    x = 109,347,939,684/150,309
  6. Step 6: Final answer
    x = 727,487.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.