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Finding the Third Proportional to 39,969 and 86,175

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Solution

The third proportional to 39,969 and 86,175 is: 185,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 86,175 = 86,175 : x
  2. Step 2: Convert to fraction form
    39,969/86,175 = 86,175/x
  3. Step 3: Cross multiply
    39,969x = 86,175 × 86,175
  4. Step 4: Simplify right side
    39,969x = 7,426,130,625
  5. Step 5: Solve for x
    x = 7,426,130,625/39,969
  6. Step 6: Final answer
    x = 185,797.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.