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Finding the Third Proportional to 20,050 and 31,475

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Solution

The third proportional to 20,050 and 31,475 is: 49,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 31,475 = 31,475 : x
  2. Step 2: Convert to fraction form
    20,050/31,475 = 31,475/x
  3. Step 3: Cross multiply
    20,050x = 31,475 × 31,475
  4. Step 4: Simplify right side
    20,050x = 990,675,625
  5. Step 5: Solve for x
    x = 990,675,625/20,050
  6. Step 6: Final answer
    x = 49,410.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.