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Finding the Third Proportional to 322,100 and 685,780

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Solution

The third proportional to 322,100 and 685,780 is: 1,460,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,100 : 685,780 = 685,780 : x
  2. Step 2: Convert to fraction form
    322,100/685,780 = 685,780/x
  3. Step 3: Cross multiply
    322,100x = 685,780 × 685,780
  4. Step 4: Simplify right side
    322,100x = 470,294,208,400
  5. Step 5: Solve for x
    x = 470,294,208,400/322,100
  6. Step 6: Final answer
    x = 1,460,087.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.