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Finding the Third Proportional to 30,942 and 66,042

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Solution

The third proportional to 30,942 and 66,042 is: 140,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 66,042 = 66,042 : x
  2. Step 2: Convert to fraction form
    30,942/66,042 = 66,042/x
  3. Step 3: Cross multiply
    30,942x = 66,042 × 66,042
  4. Step 4: Simplify right side
    30,942x = 4,361,545,764
  5. Step 5: Solve for x
    x = 4,361,545,764/30,942
  6. Step 6: Final answer
    x = 140,958.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.