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Finding the Third Proportional to 20,338 and 31,475

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Solution

The third proportional to 20,338 and 31,475 is: 48,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338 : 31,475 = 31,475 : x
  2. Step 2: Convert to fraction form
    20,338/31,475 = 31,475/x
  3. Step 3: Cross multiply
    20,338x = 31,475 × 31,475
  4. Step 4: Simplify right side
    20,338x = 990,675,625
  5. Step 5: Solve for x
    x = 990,675,625/20,338
  6. Step 6: Final answer
    x = 48,710.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.