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Finding the Third Proportional to 18,977 and 30,490

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Solution

The third proportional to 18,977 and 30,490 is: 48,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977 : 30,490 = 30,490 : x
  2. Step 2: Convert to fraction form
    18,977/30,490 = 30,490/x
  3. Step 3: Cross multiply
    18,977x = 30,490 × 30,490
  4. Step 4: Simplify right side
    18,977x = 929,640,100
  5. Step 5: Solve for x
    x = 929,640,100/18,977
  6. Step 6: Final answer
    x = 48,987.73

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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.