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Finding the Third Proportional to 9,768.75 and 20,994

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Solution

The third proportional to 9,768.75 and 20,994 is: 45,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.75 : 20,994 = 20,994 : x
  2. Step 2: Convert to fraction form
    9,768.75/20,994 = 20,994/x
  3. Step 3: Cross multiply
    9,768.75x = 20,994 × 20,994
  4. Step 4: Simplify right side
    9,768.75x = 440,748,036
  5. Step 5: Solve for x
    x = 440,748,036/9,768.75
  6. Step 6: Final answer
    x = 45,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.