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Finding the Third Proportional to 14,115 and 18,729

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Solution

The third proportional to 14,115 and 18,729 is: 24,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 18,729 = 18,729 : x
  2. Step 2: Convert to fraction form
    14,115/18,729 = 18,729/x
  3. Step 3: Cross multiply
    14,115x = 18,729 × 18,729
  4. Step 4: Simplify right side
    14,115x = 350,775,441
  5. Step 5: Solve for x
    x = 350,775,441/14,115
  6. Step 6: Final answer
    x = 24,851.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.