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Finding the Third Proportional to 20,878 and 32,289

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Solution

The third proportional to 20,878 and 32,289 is: 49,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878 : 32,289 = 32,289 : x
  2. Step 2: Convert to fraction form
    20,878/32,289 = 32,289/x
  3. Step 3: Cross multiply
    20,878x = 32,289 × 32,289
  4. Step 4: Simplify right side
    20,878x = 1,042,579,521
  5. Step 5: Solve for x
    x = 1,042,579,521/20,878
  6. Step 6: Final answer
    x = 49,936.75

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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.