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Finding the Third Proportional to 12,902.73 and 18,856.23

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Solution

The third proportional to 12,902.73 and 18,856.23 is: 27,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.73 : 18,856.23 = 18,856.23 : x
  2. Step 2: Convert to fraction form
    12,902.73/18,856.23 = 18,856.23/x
  3. Step 3: Cross multiply
    12,902.73x = 18,856.23 × 18,856.23
  4. Step 4: Simplify right side
    12,902.73x = 355,557,427.49
  5. Step 5: Solve for x
    x = 355,557,427.49/12,902.73
  6. Step 6: Final answer
    x = 27,556.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.