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Finding the Third Proportional to 713,493 and 978,379

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Solution

The third proportional to 713,493 and 978,379 is: 1,341,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,493 : 978,379 = 978,379 : x
  2. Step 2: Convert to fraction form
    713,493/978,379 = 978,379/x
  3. Step 3: Cross multiply
    713,493x = 978,379 × 978,379
  4. Step 4: Simplify right side
    713,493x = 957,225,467,641
  5. Step 5: Solve for x
    x = 957,225,467,641/713,493
  6. Step 6: Final answer
    x = 1,341,604.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.