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Finding the Third Proportional to 27,659 and 42,899

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Solution

The third proportional to 27,659 and 42,899 is: 66,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659 : 42,899 = 42,899 : x
  2. Step 2: Convert to fraction form
    27,659/42,899 = 42,899/x
  3. Step 3: Cross multiply
    27,659x = 42,899 × 42,899
  4. Step 4: Simplify right side
    27,659x = 1,840,324,201
  5. Step 5: Solve for x
    x = 1,840,324,201/27,659
  6. Step 6: Final answer
    x = 66,536.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.