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Finding the Third Proportional to 451,833.19 and 978,054.75

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Solution

The third proportional to 451,833.19 and 978,054.75 is: 2,117,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,833.19 : 978,054.75 = 978,054.75 : x
  2. Step 2: Convert to fraction form
    451,833.19/978,054.75 = 978,054.75/x
  3. Step 3: Cross multiply
    451,833.19x = 978,054.75 × 978,054.75
  4. Step 4: Simplify right side
    451,833.19x = 956,591,093,997.56
  5. Step 5: Solve for x
    x = 956,591,093,997.56/451,833.19
  6. Step 6: Final answer
    x = 2,117,133.31

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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.