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Finding the Third Proportional to 5,112 and 10,689.75

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Solution

The third proportional to 5,112 and 10,689.75 is: 22,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112 : 10,689.75 = 10,689.75 : x
  2. Step 2: Convert to fraction form
    5,112/10,689.75 = 10,689.75/x
  3. Step 3: Cross multiply
    5,112x = 10,689.75 × 10,689.75
  4. Step 4: Simplify right side
    5,112x = 114,270,755.06
  5. Step 5: Solve for x
    x = 114,270,755.06/5,112
  6. Step 6: Final answer
    x = 22,353.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.