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Finding the Third Proportional to 4,011.75 and 9,943.88

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Solution

The third proportional to 4,011.75 and 9,943.88 is: 24,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.75 : 9,943.88 = 9,943.88 : x
  2. Step 2: Convert to fraction form
    4,011.75/9,943.88 = 9,943.88/x
  3. Step 3: Cross multiply
    4,011.75x = 9,943.88 × 9,943.88
  4. Step 4: Simplify right side
    4,011.75x = 98,880,650.02
  5. Step 5: Solve for x
    x = 98,880,650.02/4,011.75
  6. Step 6: Final answer
    x = 24,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.