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Finding the Third Proportional to 30,165 and 39,667

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Solution

The third proportional to 30,165 and 39,667 is: 52,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 39,667 = 39,667 : x
  2. Step 2: Convert to fraction form
    30,165/39,667 = 39,667/x
  3. Step 3: Cross multiply
    30,165x = 39,667 × 39,667
  4. Step 4: Simplify right side
    30,165x = 1,573,470,889
  5. Step 5: Solve for x
    x = 1,573,470,889/30,165
  6. Step 6: Final answer
    x = 52,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.