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Finding the Third Proportional to 79,734 and 128,471.06

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Solution

The third proportional to 79,734 and 128,471.06 is: 206,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734 : 128,471.06 = 128,471.06 : x
  2. Step 2: Convert to fraction form
    79,734/128,471.06 = 128,471.06/x
  3. Step 3: Cross multiply
    79,734x = 128,471.06 × 128,471.06
  4. Step 4: Simplify right side
    79,734x = 16,504,813,899.88
  5. Step 5: Solve for x
    x = 16,504,813,899.88/79,734
  6. Step 6: Final answer
    x = 206,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.