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Finding the Third Proportional to 3,123.56 and 6,734.39

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Solution

The third proportional to 3,123.56 and 6,734.39 is: 14,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.56 : 6,734.39 = 6,734.39 : x
  2. Step 2: Convert to fraction form
    3,123.56/6,734.39 = 6,734.39/x
  3. Step 3: Cross multiply
    3,123.56x = 6,734.39 × 6,734.39
  4. Step 4: Simplify right side
    3,123.56x = 45,352,017.09
  5. Step 5: Solve for x
    x = 45,352,017.09/3,123.56
  6. Step 6: Final answer
    x = 14,519.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.