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Finding the Third Proportional to 12,923 and 19,385

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Solution

The third proportional to 12,923 and 19,385 is: 29,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923 : 19,385 = 19,385 : x
  2. Step 2: Convert to fraction form
    12,923/19,385 = 19,385/x
  3. Step 3: Cross multiply
    12,923x = 19,385 × 19,385
  4. Step 4: Simplify right side
    12,923x = 375,778,225
  5. Step 5: Solve for x
    x = 375,778,225/12,923
  6. Step 6: Final answer
    x = 29,078.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.