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Finding the Third Proportional to 654,873.75 and 978,270.75

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Solution

The third proportional to 654,873.75 and 978,270.75 is: 1,461,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,873.75 : 978,270.75 = 978,270.75 : x
  2. Step 2: Convert to fraction form
    654,873.75/978,270.75 = 978,270.75/x
  3. Step 3: Cross multiply
    654,873.75x = 978,270.75 × 978,270.75
  4. Step 4: Simplify right side
    654,873.75x = 957,013,660,305.56
  5. Step 5: Solve for x
    x = 957,013,660,305.56/654,873.75
  6. Step 6: Final answer
    x = 1,461,371.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.