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Finding the Third Proportional to 84,769 and 128,244

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Solution

The third proportional to 84,769 and 128,244 is: 194,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,769 : 128,244 = 128,244 : x
  2. Step 2: Convert to fraction form
    84,769/128,244 = 128,244/x
  3. Step 3: Cross multiply
    84,769x = 128,244 × 128,244
  4. Step 4: Simplify right side
    84,769x = 16,446,523,536
  5. Step 5: Solve for x
    x = 16,446,523,536/84,769
  6. Step 6: Final answer
    x = 194,015.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.