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Finding the Third Proportional to 19,901 and 30,491

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Solution

The third proportional to 19,901 and 30,491 is: 46,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901 : 30,491 = 30,491 : x
  2. Step 2: Convert to fraction form
    19,901/30,491 = 30,491/x
  3. Step 3: Cross multiply
    19,901x = 30,491 × 30,491
  4. Step 4: Simplify right side
    19,901x = 929,701,081
  5. Step 5: Solve for x
    x = 929,701,081/19,901
  6. Step 6: Final answer
    x = 46,716.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.