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Finding the Third Proportional to 20,426 and 31,227

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Solution

The third proportional to 20,426 and 31,227 is: 47,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426 : 31,227 = 31,227 : x
  2. Step 2: Convert to fraction form
    20,426/31,227 = 31,227/x
  3. Step 3: Cross multiply
    20,426x = 31,227 × 31,227
  4. Step 4: Simplify right side
    20,426x = 975,125,529
  5. Step 5: Solve for x
    x = 975,125,529/20,426
  6. Step 6: Final answer
    x = 47,739.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.