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Finding the Third Proportional to 27,080 and 43,245

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Solution

The third proportional to 27,080 and 43,245 is: 69,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080 : 43,245 = 43,245 : x
  2. Step 2: Convert to fraction form
    27,080/43,245 = 43,245/x
  3. Step 3: Cross multiply
    27,080x = 43,245 × 43,245
  4. Step 4: Simplify right side
    27,080x = 1,870,130,025
  5. Step 5: Solve for x
    x = 1,870,130,025/27,080
  6. Step 6: Final answer
    x = 69,059.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.