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Finding the Third Proportional to 18,991 and 29,482

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Solution

The third proportional to 18,991 and 29,482 is: 45,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,991 : 29,482 = 29,482 : x
  2. Step 2: Convert to fraction form
    18,991/29,482 = 29,482/x
  3. Step 3: Cross multiply
    18,991x = 29,482 × 29,482
  4. Step 4: Simplify right side
    18,991x = 869,188,324
  5. Step 5: Solve for x
    x = 869,188,324/18,991
  6. Step 6: Final answer
    x = 45,768.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.