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Finding the Third Proportional to 85,266 and 127,980

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Solution

The third proportional to 85,266 and 127,980 is: 192,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,266 : 127,980 = 127,980 : x
  2. Step 2: Convert to fraction form
    85,266/127,980 = 127,980/x
  3. Step 3: Cross multiply
    85,266x = 127,980 × 127,980
  4. Step 4: Simplify right side
    85,266x = 16,378,880,400
  5. Step 5: Solve for x
    x = 16,378,880,400/85,266
  6. Step 6: Final answer
    x = 192,091.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.