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Finding the Third Proportional to 12,321 and 18,042.75

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Solution

The third proportional to 12,321 and 18,042.75 is: 26,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321 : 18,042.75 = 18,042.75 : x
  2. Step 2: Convert to fraction form
    12,321/18,042.75 = 18,042.75/x
  3. Step 3: Cross multiply
    12,321x = 18,042.75 × 18,042.75
  4. Step 4: Simplify right side
    12,321x = 325,540,827.56
  5. Step 5: Solve for x
    x = 325,540,827.56/12,321
  6. Step 6: Final answer
    x = 26,421.62

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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.