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Finding the Third Proportional to 16,482 and 18,642

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Solution

The third proportional to 16,482 and 18,642 is: 21,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 18,642 = 18,642 : x
  2. Step 2: Convert to fraction form
    16,482/18,642 = 18,642/x
  3. Step 3: Cross multiply
    16,482x = 18,642 × 18,642
  4. Step 4: Simplify right side
    16,482x = 347,524,164
  5. Step 5: Solve for x
    x = 347,524,164/16,482
  6. Step 6: Final answer
    x = 21,085.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.