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Finding the Third Proportional to 27,109 and 43,127

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Solution

The third proportional to 27,109 and 43,127 is: 68,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109 : 43,127 = 43,127 : x
  2. Step 2: Convert to fraction form
    27,109/43,127 = 43,127/x
  3. Step 3: Cross multiply
    27,109x = 43,127 × 43,127
  4. Step 4: Simplify right side
    27,109x = 1,859,938,129
  5. Step 5: Solve for x
    x = 1,859,938,129/27,109
  6. Step 6: Final answer
    x = 68,609.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.