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Finding the Third Proportional to 654,910.13 and 978,321.19

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Solution

The third proportional to 654,910.13 and 978,321.19 is: 1,461,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,910.13 : 978,321.19 = 978,321.19 : x
  2. Step 2: Convert to fraction form
    654,910.13/978,321.19 = 978,321.19/x
  3. Step 3: Cross multiply
    654,910.13x = 978,321.19 × 978,321.19
  4. Step 4: Simplify right side
    654,910.13x = 957,112,345,911.41
  5. Step 5: Solve for x
    x = 957,112,345,911.41/654,910.13
  6. Step 6: Final answer
    x = 1,461,440.75

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Why These Related Problems?

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