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Finding the Third Proportional to 215,592.75 and 445,016.25

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Solution

The third proportional to 215,592.75 and 445,016.25 is: 918,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,592.75 : 445,016.25 = 445,016.25 : x
  2. Step 2: Convert to fraction form
    215,592.75/445,016.25 = 445,016.25/x
  3. Step 3: Cross multiply
    215,592.75x = 445,016.25 × 445,016.25
  4. Step 4: Simplify right side
    215,592.75x = 198,039,462,764.06
  5. Step 5: Solve for x
    x = 198,039,462,764.06/215,592.75
  6. Step 6: Final answer
    x = 918,581.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.