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Finding the Third Proportional to 20,461 and 31,285

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Solution

The third proportional to 20,461 and 31,285 is: 47,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461 : 31,285 = 31,285 : x
  2. Step 2: Convert to fraction form
    20,461/31,285 = 31,285/x
  3. Step 3: Cross multiply
    20,461x = 31,285 × 31,285
  4. Step 4: Simplify right side
    20,461x = 978,751,225
  5. Step 5: Solve for x
    x = 978,751,225/20,461
  6. Step 6: Final answer
    x = 47,834.97

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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.