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Finding the Third Proportional to 82,759.50 and 128,379

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Solution

The third proportional to 82,759.50 and 128,379 is: 199,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.50 : 128,379 = 128,379 : x
  2. Step 2: Convert to fraction form
    82,759.50/128,379 = 128,379/x
  3. Step 3: Cross multiply
    82,759.50x = 128,379 × 128,379
  4. Step 4: Simplify right side
    82,759.50x = 16,481,167,641
  5. Step 5: Solve for x
    x = 16,481,167,641/82,759.50
  6. Step 6: Final answer
    x = 199,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.