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Finding the Third Proportional to 220,647 and 330,674

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Solution

The third proportional to 220,647 and 330,674 is: 495,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,647 : 330,674 = 330,674 : x
  2. Step 2: Convert to fraction form
    220,647/330,674 = 330,674/x
  3. Step 3: Cross multiply
    220,647x = 330,674 × 330,674
  4. Step 4: Simplify right side
    220,647x = 109,345,294,276
  5. Step 5: Solve for x
    x = 109,345,294,276/220,647
  6. Step 6: Final answer
    x = 495,566.65

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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.