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Finding the Third Proportional to 9,942.75 and 21,643.88

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Solution

The third proportional to 9,942.75 and 21,643.88 is: 47,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 21,643.88 = 21,643.88 : x
  2. Step 2: Convert to fraction form
    9,942.75/21,643.88 = 21,643.88/x
  3. Step 3: Cross multiply
    9,942.75x = 21,643.88 × 21,643.88
  4. Step 4: Simplify right side
    9,942.75x = 468,457,325.02
  5. Step 5: Solve for x
    x = 468,457,325.02/9,942.75
  6. Step 6: Final answer
    x = 47,115.47

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Why These Related Problems?

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