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Finding the Third Proportional to 2,112.96 and 4,869.49

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Solution

The third proportional to 2,112.96 and 4,869.49 is: 11,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.96 : 4,869.49 = 4,869.49 : x
  2. Step 2: Convert to fraction form
    2,112.96/4,869.49 = 4,869.49/x
  3. Step 3: Cross multiply
    2,112.96x = 4,869.49 × 4,869.49
  4. Step 4: Simplify right side
    2,112.96x = 23,711,954.16
  5. Step 5: Solve for x
    x = 23,711,954.16/2,112.96
  6. Step 6: Final answer
    x = 11,222.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.