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Finding the Third Proportional to 28,396 and 39,817

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Solution

The third proportional to 28,396 and 39,817 is: 55,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,396 : 39,817 = 39,817 : x
  2. Step 2: Convert to fraction form
    28,396/39,817 = 39,817/x
  3. Step 3: Cross multiply
    28,396x = 39,817 × 39,817
  4. Step 4: Simplify right side
    28,396x = 1,585,393,489
  5. Step 5: Solve for x
    x = 1,585,393,489/28,396
  6. Step 6: Final answer
    x = 55,831.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.