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Finding the Third Proportional to 80,635.50 and 128,104.13

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Solution

The third proportional to 80,635.50 and 128,104.13 is: 203,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,635.50 : 128,104.13 = 128,104.13 : x
  2. Step 2: Convert to fraction form
    80,635.50/128,104.13 = 128,104.13/x
  3. Step 3: Cross multiply
    80,635.50x = 128,104.13 × 128,104.13
  4. Step 4: Simplify right side
    80,635.50x = 16,410,666,842.02
  5. Step 5: Solve for x
    x = 16,410,666,842.02/80,635.50
  6. Step 6: Final answer
    x = 203,516.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.