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Finding the Third Proportional to 12,372.75 and 19,140.75

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Solution

The third proportional to 12,372.75 and 19,140.75 is: 29,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.75 : 19,140.75 = 19,140.75 : x
  2. Step 2: Convert to fraction form
    12,372.75/19,140.75 = 19,140.75/x
  3. Step 3: Cross multiply
    12,372.75x = 19,140.75 × 19,140.75
  4. Step 4: Simplify right side
    12,372.75x = 366,368,310.56
  5. Step 5: Solve for x
    x = 366,368,310.56/12,372.75
  6. Step 6: Final answer
    x = 29,610.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.