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Finding the Third Proportional to 18,942 and 30,480

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Solution

The third proportional to 18,942 and 30,480 is: 49,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942 : 30,480 = 30,480 : x
  2. Step 2: Convert to fraction form
    18,942/30,480 = 30,480/x
  3. Step 3: Cross multiply
    18,942x = 30,480 × 30,480
  4. Step 4: Simplify right side
    18,942x = 929,030,400
  5. Step 5: Solve for x
    x = 929,030,400/18,942
  6. Step 6: Final answer
    x = 49,046.06

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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.