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Finding the Third Proportional to 20,858 and 32,779

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Solution

The third proportional to 20,858 and 32,779 is: 51,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858 : 32,779 = 32,779 : x
  2. Step 2: Convert to fraction form
    20,858/32,779 = 32,779/x
  3. Step 3: Cross multiply
    20,858x = 32,779 × 32,779
  4. Step 4: Simplify right side
    20,858x = 1,074,462,841
  5. Step 5: Solve for x
    x = 1,074,462,841/20,858
  6. Step 6: Final answer
    x = 51,513.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.