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Finding the Third Proportional to 132,678 and 199,017

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Solution

The third proportional to 132,678 and 199,017 is: 298,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678 : 199,017 = 199,017 : x
  2. Step 2: Convert to fraction form
    132,678/199,017 = 199,017/x
  3. Step 3: Cross multiply
    132,678x = 199,017 × 199,017
  4. Step 4: Simplify right side
    132,678x = 39,607,766,289
  5. Step 5: Solve for x
    x = 39,607,766,289/132,678
  6. Step 6: Final answer
    x = 298,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.