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Finding the Third Proportional to 39,684 and 52,668

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Solution

The third proportional to 39,684 and 52,668 is: 69,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 52,668 = 52,668 : x
  2. Step 2: Convert to fraction form
    39,684/52,668 = 52,668/x
  3. Step 3: Cross multiply
    39,684x = 52,668 × 52,668
  4. Step 4: Simplify right side
    39,684x = 2,773,918,224
  5. Step 5: Solve for x
    x = 2,773,918,224/39,684
  6. Step 6: Final answer
    x = 69,900.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.