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Finding the Third Proportional to 9,643.88 and 20,995.50

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Solution

The third proportional to 9,643.88 and 20,995.50 is: 45,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.88 : 20,995.50 = 20,995.50 : x
  2. Step 2: Convert to fraction form
    9,643.88/20,995.50 = 20,995.50/x
  3. Step 3: Cross multiply
    9,643.88x = 20,995.50 × 20,995.50
  4. Step 4: Simplify right side
    9,643.88x = 440,811,020.25
  5. Step 5: Solve for x
    x = 440,811,020.25/9,643.88
  6. Step 6: Final answer
    x = 45,708.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.