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Finding the Third Proportional to 12,123 and 18,528.75

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Solution

The third proportional to 12,123 and 18,528.75 is: 28,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 18,528.75 = 18,528.75 : x
  2. Step 2: Convert to fraction form
    12,123/18,528.75 = 18,528.75/x
  3. Step 3: Cross multiply
    12,123x = 18,528.75 × 18,528.75
  4. Step 4: Simplify right side
    12,123x = 343,314,576.56
  5. Step 5: Solve for x
    x = 343,314,576.56/12,123
  6. Step 6: Final answer
    x = 28,319.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.