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Finding the Third Proportional to 14,340 and 21,042

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Solution

The third proportional to 14,340 and 21,042 is: 30,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,042 = 21,042 : x
  2. Step 2: Convert to fraction form
    14,340/21,042 = 21,042/x
  3. Step 3: Cross multiply
    14,340x = 21,042 × 21,042
  4. Step 4: Simplify right side
    14,340x = 442,765,764
  5. Step 5: Solve for x
    x = 442,765,764/14,340
  6. Step 6: Final answer
    x = 30,876.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.