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Finding the Third Proportional to 27,971 and 43,213

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Solution

The third proportional to 27,971 and 43,213 is: 66,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971 : 43,213 = 43,213 : x
  2. Step 2: Convert to fraction form
    27,971/43,213 = 43,213/x
  3. Step 3: Cross multiply
    27,971x = 43,213 × 43,213
  4. Step 4: Simplify right side
    27,971x = 1,867,363,369
  5. Step 5: Solve for x
    x = 1,867,363,369/27,971
  6. Step 6: Final answer
    x = 66,760.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.