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Finding the Third Proportional to 14,631.75 and 20,121.75

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Solution

The third proportional to 14,631.75 and 20,121.75 is: 27,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.75 : 20,121.75 = 20,121.75 : x
  2. Step 2: Convert to fraction form
    14,631.75/20,121.75 = 20,121.75/x
  3. Step 3: Cross multiply
    14,631.75x = 20,121.75 × 20,121.75
  4. Step 4: Simplify right side
    14,631.75x = 404,884,823.06
  5. Step 5: Solve for x
    x = 404,884,823.06/14,631.75
  6. Step 6: Final answer
    x = 27,671.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.