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Finding the Third Proportional to 87,769.13 and 128,529.56

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Solution

The third proportional to 87,769.13 and 128,529.56 is: 188,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,769.13 : 128,529.56 = 128,529.56 : x
  2. Step 2: Convert to fraction form
    87,769.13/128,529.56 = 128,529.56/x
  3. Step 3: Cross multiply
    87,769.13x = 128,529.56 × 128,529.56
  4. Step 4: Simplify right side
    87,769.13x = 16,519,848,436.44
  5. Step 5: Solve for x
    x = 16,519,848,436.44/87,769.13
  6. Step 6: Final answer
    x = 188,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.