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Finding the Third Proportional to 27,798 and 42,999

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Solution

The third proportional to 27,798 and 42,999 is: 66,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798 : 42,999 = 42,999 : x
  2. Step 2: Convert to fraction form
    27,798/42,999 = 42,999/x
  3. Step 3: Cross multiply
    27,798x = 42,999 × 42,999
  4. Step 4: Simplify right side
    27,798x = 1,848,914,001
  5. Step 5: Solve for x
    x = 1,848,914,001/27,798
  6. Step 6: Final answer
    x = 66,512.48

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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.