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Finding the Third Proportional to 20,537 and 31,425

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Solution

The third proportional to 20,537 and 31,425 is: 48,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537 : 31,425 = 31,425 : x
  2. Step 2: Convert to fraction form
    20,537/31,425 = 31,425/x
  3. Step 3: Cross multiply
    20,537x = 31,425 × 31,425
  4. Step 4: Simplify right side
    20,537x = 987,530,625
  5. Step 5: Solve for x
    x = 987,530,625/20,537
  6. Step 6: Final answer
    x = 48,085.44

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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.