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Finding the Third Proportional to 9,724.50 and 20,994.75

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Solution

The third proportional to 9,724.50 and 20,994.75 is: 45,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.50 : 20,994.75 = 20,994.75 : x
  2. Step 2: Convert to fraction form
    9,724.50/20,994.75 = 20,994.75/x
  3. Step 3: Cross multiply
    9,724.50x = 20,994.75 × 20,994.75
  4. Step 4: Simplify right side
    9,724.50x = 440,779,527.56
  5. Step 5: Solve for x
    x = 440,779,527.56/9,724.50
  6. Step 6: Final answer
    x = 45,326.70

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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.