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Finding the Third Proportional to 20,172 and 31,396

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Solution

The third proportional to 20,172 and 31,396 is: 48,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172 : 31,396 = 31,396 : x
  2. Step 2: Convert to fraction form
    20,172/31,396 = 31,396/x
  3. Step 3: Cross multiply
    20,172x = 31,396 × 31,396
  4. Step 4: Simplify right side
    20,172x = 985,708,816
  5. Step 5: Solve for x
    x = 985,708,816/20,172
  6. Step 6: Final answer
    x = 48,865.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.