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Finding the Third Proportional to 81,898 and 127,221

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Solution

The third proportional to 81,898 and 127,221 is: 197,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898 : 127,221 = 127,221 : x
  2. Step 2: Convert to fraction form
    81,898/127,221 = 127,221/x
  3. Step 3: Cross multiply
    81,898x = 127,221 × 127,221
  4. Step 4: Simplify right side
    81,898x = 16,185,182,841
  5. Step 5: Solve for x
    x = 16,185,182,841/81,898
  6. Step 6: Final answer
    x = 197,626.11

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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.