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Finding the Third Proportional to 39,686 and 52,907

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Solution

The third proportional to 39,686 and 52,907 is: 70,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686 : 52,907 = 52,907 : x
  2. Step 2: Convert to fraction form
    39,686/52,907 = 52,907/x
  3. Step 3: Cross multiply
    39,686x = 52,907 × 52,907
  4. Step 4: Simplify right side
    39,686x = 2,799,150,649
  5. Step 5: Solve for x
    x = 2,799,150,649/39,686
  6. Step 6: Final answer
    x = 70,532.45

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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.