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Finding the Third Proportional to 39,971 and 81,319

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Solution

The third proportional to 39,971 and 81,319 is: 165,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971 : 81,319 = 81,319 : x
  2. Step 2: Convert to fraction form
    39,971/81,319 = 81,319/x
  3. Step 3: Cross multiply
    39,971x = 81,319 × 81,319
  4. Step 4: Simplify right side
    39,971x = 6,612,779,761
  5. Step 5: Solve for x
    x = 6,612,779,761/39,971
  6. Step 6: Final answer
    x = 165,439.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.