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Finding the Third Proportional to 84,009 and 127,768.50

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Solution

The third proportional to 84,009 and 127,768.50 is: 194,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009 : 127,768.50 = 127,768.50 : x
  2. Step 2: Convert to fraction form
    84,009/127,768.50 = 127,768.50/x
  3. Step 3: Cross multiply
    84,009x = 127,768.50 × 127,768.50
  4. Step 4: Simplify right side
    84,009x = 16,324,789,592.25
  5. Step 5: Solve for x
    x = 16,324,789,592.25/84,009
  6. Step 6: Final answer
    x = 194,321.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.