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Finding the Third Proportional to 451,845.75 and 978,078.75

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Solution

The third proportional to 451,845.75 and 978,078.75 is: 2,117,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,845.75 : 978,078.75 = 978,078.75 : x
  2. Step 2: Convert to fraction form
    451,845.75/978,078.75 = 978,078.75/x
  3. Step 3: Cross multiply
    451,845.75x = 978,078.75 × 978,078.75
  4. Step 4: Simplify right side
    451,845.75x = 956,638,041,201.56
  5. Step 5: Solve for x
    x = 956,638,041,201.56/451,845.75
  6. Step 6: Final answer
    x = 2,117,178.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.