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Finding the Third Proportional to 220,650 and 330,678

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Solution

The third proportional to 220,650 and 330,678 is: 495,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,650 : 330,678 = 330,678 : x
  2. Step 2: Convert to fraction form
    220,650/330,678 = 330,678/x
  3. Step 3: Cross multiply
    220,650x = 330,678 × 330,678
  4. Step 4: Simplify right side
    220,650x = 109,347,939,684
  5. Step 5: Solve for x
    x = 109,347,939,684/220,650
  6. Step 6: Final answer
    x = 495,571.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.