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Finding the Third Proportional to 305,640 and 663,828

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Solution

The third proportional to 305,640 and 663,828 is: 1,441,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,640 : 663,828 = 663,828 : x
  2. Step 2: Convert to fraction form
    305,640/663,828 = 663,828/x
  3. Step 3: Cross multiply
    305,640x = 663,828 × 663,828
  4. Step 4: Simplify right side
    305,640x = 440,667,613,584
  5. Step 5: Solve for x
    x = 440,667,613,584/305,640
  6. Step 6: Final answer
    x = 1,441,786.46

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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.