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Finding the Third Proportional to 127,827 and 197,721

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Solution

The third proportional to 127,827 and 197,721 is: 305,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,827 : 197,721 = 197,721 : x
  2. Step 2: Convert to fraction form
    127,827/197,721 = 197,721/x
  3. Step 3: Cross multiply
    127,827x = 197,721 × 197,721
  4. Step 4: Simplify right side
    127,827x = 39,093,593,841
  5. Step 5: Solve for x
    x = 39,093,593,841/127,827
  6. Step 6: Final answer
    x = 305,832.05

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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.