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Finding the Third Proportional to 13,001 and 19,775

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Solution

The third proportional to 13,001 and 19,775 is: 30,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001 : 19,775 = 19,775 : x
  2. Step 2: Convert to fraction form
    13,001/19,775 = 19,775/x
  3. Step 3: Cross multiply
    13,001x = 19,775 × 19,775
  4. Step 4: Simplify right side
    13,001x = 391,050,625
  5. Step 5: Solve for x
    x = 391,050,625/13,001
  6. Step 6: Final answer
    x = 30,078.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.