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Finding the Third Proportional to 39,069 and 55,317

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Solution

The third proportional to 39,069 and 55,317 is: 78,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,069 : 55,317 = 55,317 : x
  2. Step 2: Convert to fraction form
    39,069/55,317 = 55,317/x
  3. Step 3: Cross multiply
    39,069x = 55,317 × 55,317
  4. Step 4: Simplify right side
    39,069x = 3,059,970,489
  5. Step 5: Solve for x
    x = 3,059,970,489/39,069
  6. Step 6: Final answer
    x = 78,322.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.