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Finding the Third Proportional to 18,997 and 30,135

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Solution

The third proportional to 18,997 and 30,135 is: 47,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997 : 30,135 = 30,135 : x
  2. Step 2: Convert to fraction form
    18,997/30,135 = 30,135/x
  3. Step 3: Cross multiply
    18,997x = 30,135 × 30,135
  4. Step 4: Simplify right side
    18,997x = 908,118,225
  5. Step 5: Solve for x
    x = 908,118,225/18,997
  6. Step 6: Final answer
    x = 47,803.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.