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Finding the Third Proportional to 20,642 and 26,858

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Solution

The third proportional to 20,642 and 26,858 is: 34,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642 : 26,858 = 26,858 : x
  2. Step 2: Convert to fraction form
    20,642/26,858 = 26,858/x
  3. Step 3: Cross multiply
    20,642x = 26,858 × 26,858
  4. Step 4: Simplify right side
    20,642x = 721,352,164
  5. Step 5: Solve for x
    x = 721,352,164/20,642
  6. Step 6: Final answer
    x = 34,945.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.