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Finding the Third Proportional to 12,926 and 20,927

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Solution

The third proportional to 12,926 and 20,927 is: 33,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926 : 20,927 = 20,927 : x
  2. Step 2: Convert to fraction form
    12,926/20,927 = 20,927/x
  3. Step 3: Cross multiply
    12,926x = 20,927 × 20,927
  4. Step 4: Simplify right side
    12,926x = 437,939,329
  5. Step 5: Solve for x
    x = 437,939,329/12,926
  6. Step 6: Final answer
    x = 33,880.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.