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Finding the Third Proportional to 39,978 and 81,342

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Solution

The third proportional to 39,978 and 81,342 is: 165,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,978 : 81,342 = 81,342 : x
  2. Step 2: Convert to fraction form
    39,978/81,342 = 81,342/x
  3. Step 3: Cross multiply
    39,978x = 81,342 × 81,342
  4. Step 4: Simplify right side
    39,978x = 6,616,520,964
  5. Step 5: Solve for x
    x = 6,616,520,964/39,978
  6. Step 6: Final answer
    x = 165,504.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.