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Finding the Third Proportional to 685,902 and 1,504,608

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Solution

The third proportional to 685,902 and 1,504,608 is: 3,300,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,902 : 1,504,608 = 1,504,608 : x
  2. Step 2: Convert to fraction form
    685,902/1,504,608 = 1,504,608/x
  3. Step 3: Cross multiply
    685,902x = 1,504,608 × 1,504,608
  4. Step 4: Simplify right side
    685,902x = 2,263,845,233,664
  5. Step 5: Solve for x
    x = 2,263,845,233,664/685,902
  6. Step 6: Final answer
    x = 3,300,537.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.