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Finding the Third Proportional to 20,853 and 31,275

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Solution

The third proportional to 20,853 and 31,275 is: 46,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853 : 31,275 = 31,275 : x
  2. Step 2: Convert to fraction form
    20,853/31,275 = 31,275/x
  3. Step 3: Cross multiply
    20,853x = 31,275 × 31,275
  4. Step 4: Simplify right side
    20,853x = 978,125,625
  5. Step 5: Solve for x
    x = 978,125,625/20,853
  6. Step 6: Final answer
    x = 46,905.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.