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Finding the Third Proportional to 18,720 and 30,144

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Solution

The third proportional to 18,720 and 30,144 is: 48,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,720 : 30,144 = 30,144 : x
  2. Step 2: Convert to fraction form
    18,720/30,144 = 30,144/x
  3. Step 3: Cross multiply
    18,720x = 30,144 × 30,144
  4. Step 4: Simplify right side
    18,720x = 908,660,736
  5. Step 5: Solve for x
    x = 908,660,736/18,720
  6. Step 6: Final answer
    x = 48,539.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.