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Finding the Third Proportional to 14,884 and 18,020

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Solution

The third proportional to 14,884 and 18,020 is: 21,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 18,020 = 18,020 : x
  2. Step 2: Convert to fraction form
    14,884/18,020 = 18,020/x
  3. Step 3: Cross multiply
    14,884x = 18,020 × 18,020
  4. Step 4: Simplify right side
    14,884x = 324,720,400
  5. Step 5: Solve for x
    x = 324,720,400/14,884
  6. Step 6: Final answer
    x = 21,816.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.