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Finding the Third Proportional to 12,455.34 and 18,505.64

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Solution

The third proportional to 12,455.34 and 18,505.64 is: 27,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.34 : 18,505.64 = 18,505.64 : x
  2. Step 2: Convert to fraction form
    12,455.34/18,505.64 = 18,505.64/x
  3. Step 3: Cross multiply
    12,455.34x = 18,505.64 × 18,505.64
  4. Step 4: Simplify right side
    12,455.34x = 342,458,734.94
  5. Step 5: Solve for x
    x = 342,458,734.94/12,455.34
  6. Step 6: Final answer
    x = 27,494.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.