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Finding the Third Proportional to 14,080 and 20,455

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Solution

The third proportional to 14,080 and 20,455 is: 29,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080 : 20,455 = 20,455 : x
  2. Step 2: Convert to fraction form
    14,080/20,455 = 20,455/x
  3. Step 3: Cross multiply
    14,080x = 20,455 × 20,455
  4. Step 4: Simplify right side
    14,080x = 418,407,025
  5. Step 5: Solve for x
    x = 418,407,025/14,080
  6. Step 6: Final answer
    x = 29,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.