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Finding the Third Proportional to 18,997 and 29,491

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Solution

The third proportional to 18,997 and 29,491 is: 45,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997 : 29,491 = 29,491 : x
  2. Step 2: Convert to fraction form
    18,997/29,491 = 29,491/x
  3. Step 3: Cross multiply
    18,997x = 29,491 × 29,491
  4. Step 4: Simplify right side
    18,997x = 869,719,081
  5. Step 5: Solve for x
    x = 869,719,081/18,997
  6. Step 6: Final answer
    x = 45,781.92

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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.