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Finding the Third Proportional to 39,027 and 83,971

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Solution

The third proportional to 39,027 and 83,971 is: 180,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027 : 83,971 = 83,971 : x
  2. Step 2: Convert to fraction form
    39,027/83,971 = 83,971/x
  3. Step 3: Cross multiply
    39,027x = 83,971 × 83,971
  4. Step 4: Simplify right side
    39,027x = 7,051,128,841
  5. Step 5: Solve for x
    x = 7,051,128,841/39,027
  6. Step 6: Final answer
    x = 180,673.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.