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Finding the Third Proportional to 332,290 and 720,668

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Solution

The third proportional to 332,290 and 720,668 is: 1,562,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,290 : 720,668 = 720,668 : x
  2. Step 2: Convert to fraction form
    332,290/720,668 = 720,668/x
  3. Step 3: Cross multiply
    332,290x = 720,668 × 720,668
  4. Step 4: Simplify right side
    332,290x = 519,362,366,224
  5. Step 5: Solve for x
    x = 519,362,366,224/332,290
  6. Step 6: Final answer
    x = 1,562,979.22

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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.