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Finding the Third Proportional to 12,800 and 20,294

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Solution

The third proportional to 12,800 and 20,294 is: 32,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 20,294 = 20,294 : x
  2. Step 2: Convert to fraction form
    12,800/20,294 = 20,294/x
  3. Step 3: Cross multiply
    12,800x = 20,294 × 20,294
  4. Step 4: Simplify right side
    12,800x = 411,846,436
  5. Step 5: Solve for x
    x = 411,846,436/12,800
  6. Step 6: Final answer
    x = 32,175.50

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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.