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Finding the Third Proportional to 12,750 and 25,864

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Solution

The third proportional to 12,750 and 25,864 is: 52,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 25,864 = 25,864 : x
  2. Step 2: Convert to fraction form
    12,750/25,864 = 25,864/x
  3. Step 3: Cross multiply
    12,750x = 25,864 × 25,864
  4. Step 4: Simplify right side
    12,750x = 668,946,496
  5. Step 5: Solve for x
    x = 668,946,496/12,750
  6. Step 6: Final answer
    x = 52,466.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.