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Finding the Third Proportional to 135,738 and 199,665

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Solution

The third proportional to 135,738 and 199,665 is: 293,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,738 : 199,665 = 199,665 : x
  2. Step 2: Convert to fraction form
    135,738/199,665 = 199,665/x
  3. Step 3: Cross multiply
    135,738x = 199,665 × 199,665
  4. Step 4: Simplify right side
    135,738x = 39,866,112,225
  5. Step 5: Solve for x
    x = 39,866,112,225/135,738
  6. Step 6: Final answer
    x = 293,698.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.