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Finding the Third Proportional to 12,839.50 and 26,921

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Solution

The third proportional to 12,839.50 and 26,921 is: 56,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.50 : 26,921 = 26,921 : x
  2. Step 2: Convert to fraction form
    12,839.50/26,921 = 26,921/x
  3. Step 3: Cross multiply
    12,839.50x = 26,921 × 26,921
  4. Step 4: Simplify right side
    12,839.50x = 724,740,241
  5. Step 5: Solve for x
    x = 724,740,241/12,839.50
  6. Step 6: Final answer
    x = 56,446.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.