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Finding the Third Proportional to 12,843 and 19,213

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Solution

The third proportional to 12,843 and 19,213 is: 28,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843 : 19,213 = 19,213 : x
  2. Step 2: Convert to fraction form
    12,843/19,213 = 19,213/x
  3. Step 3: Cross multiply
    12,843x = 19,213 × 19,213
  4. Step 4: Simplify right side
    12,843x = 369,139,369
  5. Step 5: Solve for x
    x = 369,139,369/12,843
  6. Step 6: Final answer
    x = 28,742.46

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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.