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Finding the Third Proportional to 685,919 and 978,433

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Solution

The third proportional to 685,919 and 978,433 is: 1,395,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,919 : 978,433 = 978,433 : x
  2. Step 2: Convert to fraction form
    685,919/978,433 = 978,433/x
  3. Step 3: Cross multiply
    685,919x = 978,433 × 978,433
  4. Step 4: Simplify right side
    685,919x = 957,331,135,489
  5. Step 5: Solve for x
    x = 957,331,135,489/685,919
  6. Step 6: Final answer
    x = 1,395,691.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.