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Finding the Third Proportional to 14,890 and 20,279

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Solution

The third proportional to 14,890 and 20,279 is: 27,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890 : 20,279 = 20,279 : x
  2. Step 2: Convert to fraction form
    14,890/20,279 = 20,279/x
  3. Step 3: Cross multiply
    14,890x = 20,279 × 20,279
  4. Step 4: Simplify right side
    14,890x = 411,237,841
  5. Step 5: Solve for x
    x = 411,237,841/14,890
  6. Step 6: Final answer
    x = 27,618.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.