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Finding the Third Proportional to 14,018 and 20,905

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Solution

The third proportional to 14,018 and 20,905 is: 31,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018 : 20,905 = 20,905 : x
  2. Step 2: Convert to fraction form
    14,018/20,905 = 20,905/x
  3. Step 3: Cross multiply
    14,018x = 20,905 × 20,905
  4. Step 4: Simplify right side
    14,018x = 437,019,025
  5. Step 5: Solve for x
    x = 437,019,025/14,018
  6. Step 6: Final answer
    x = 31,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.