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Finding the Third Proportional to 20,512 and 23,488

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Solution

The third proportional to 20,512 and 23,488 is: 26,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 23,488 = 23,488 : x
  2. Step 2: Convert to fraction form
    20,512/23,488 = 23,488/x
  3. Step 3: Cross multiply
    20,512x = 23,488 × 23,488
  4. Step 4: Simplify right side
    20,512x = 551,686,144
  5. Step 5: Solve for x
    x = 551,686,144/20,512
  6. Step 6: Final answer
    x = 26,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.