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Finding the Third Proportional to 12,855.75 and 19,420.69

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Solution

The third proportional to 12,855.75 and 19,420.69 is: 29,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.75 : 19,420.69 = 19,420.69 : x
  2. Step 2: Convert to fraction form
    12,855.75/19,420.69 = 19,420.69/x
  3. Step 3: Cross multiply
    12,855.75x = 19,420.69 × 19,420.69
  4. Step 4: Simplify right side
    12,855.75x = 377,163,102.97
  5. Step 5: Solve for x
    x = 377,163,102.97/12,855.75
  6. Step 6: Final answer
    x = 29,338.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.