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Finding the Third Proportional to 12,821.50 and 26,282

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Solution

The third proportional to 12,821.50 and 26,282 is: 53,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.50 : 26,282 = 26,282 : x
  2. Step 2: Convert to fraction form
    12,821.50/26,282 = 26,282/x
  3. Step 3: Cross multiply
    12,821.50x = 26,282 × 26,282
  4. Step 4: Simplify right side
    12,821.50x = 690,743,524
  5. Step 5: Solve for x
    x = 690,743,524/12,821.50
  6. Step 6: Final answer
    x = 53,873.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.