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Finding the Third Proportional to 20,782 and 33,429

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Solution

The third proportional to 20,782 and 33,429 is: 53,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782 : 33,429 = 33,429 : x
  2. Step 2: Convert to fraction form
    20,782/33,429 = 33,429/x
  3. Step 3: Cross multiply
    20,782x = 33,429 × 33,429
  4. Step 4: Simplify right side
    20,782x = 1,117,498,041
  5. Step 5: Solve for x
    x = 1,117,498,041/20,782
  6. Step 6: Final answer
    x = 53,772.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.