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Finding the Third Proportional to 685,568 and 1,485,548

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Solution

The third proportional to 685,568 and 1,485,548 is: 3,219,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,568 : 1,485,548 = 1,485,548 : x
  2. Step 2: Convert to fraction form
    685,568/1,485,548 = 1,485,548/x
  3. Step 3: Cross multiply
    685,568x = 1,485,548 × 1,485,548
  4. Step 4: Simplify right side
    685,568x = 2,206,852,860,304
  5. Step 5: Solve for x
    x = 2,206,852,860,304/685,568
  6. Step 6: Final answer
    x = 3,219,013.81

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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.