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Finding the Third Proportional to 27,795 and 42,991

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Solution

The third proportional to 27,795 and 42,991 is: 66,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795 : 42,991 = 42,991 : x
  2. Step 2: Convert to fraction form
    27,795/42,991 = 42,991/x
  3. Step 3: Cross multiply
    27,795x = 42,991 × 42,991
  4. Step 4: Simplify right side
    27,795x = 1,848,226,081
  5. Step 5: Solve for x
    x = 1,848,226,081/27,795
  6. Step 6: Final answer
    x = 66,494.91

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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.