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Finding the Third Proportional to 13,699 and 21,779

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Solution

The third proportional to 13,699 and 21,779 is: 34,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699 : 21,779 = 21,779 : x
  2. Step 2: Convert to fraction form
    13,699/21,779 = 21,779/x
  3. Step 3: Cross multiply
    13,699x = 21,779 × 21,779
  4. Step 4: Simplify right side
    13,699x = 474,324,841
  5. Step 5: Solve for x
    x = 474,324,841/13,699
  6. Step 6: Final answer
    x = 34,624.78

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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.