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Finding the Third Proportional to 27,976 and 43,840

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Solution

The third proportional to 27,976 and 43,840 is: 68,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976 : 43,840 = 43,840 : x
  2. Step 2: Convert to fraction form
    27,976/43,840 = 43,840/x
  3. Step 3: Cross multiply
    27,976x = 43,840 × 43,840
  4. Step 4: Simplify right side
    27,976x = 1,921,945,600
  5. Step 5: Solve for x
    x = 1,921,945,600/27,976
  6. Step 6: Final answer
    x = 68,699.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.