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Finding the Third Proportional to 2,122.31 and 4,676.63

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Solution

The third proportional to 2,122.31 and 4,676.63 is: 10,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.31 : 4,676.63 = 4,676.63 : x
  2. Step 2: Convert to fraction form
    2,122.31/4,676.63 = 4,676.63/x
  3. Step 3: Cross multiply
    2,122.31x = 4,676.63 × 4,676.63
  4. Step 4: Simplify right side
    2,122.31x = 21,870,821.39
  5. Step 5: Solve for x
    x = 21,870,821.39/2,122.31
  6. Step 6: Final answer
    x = 10,305.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.