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Finding the Third Proportional to 135,999 and 204,117

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Solution

The third proportional to 135,999 and 204,117 is: 306,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999 : 204,117 = 204,117 : x
  2. Step 2: Convert to fraction form
    135,999/204,117 = 204,117/x
  3. Step 3: Cross multiply
    135,999x = 204,117 × 204,117
  4. Step 4: Simplify right side
    135,999x = 41,663,749,689
  5. Step 5: Solve for x
    x = 41,663,749,689/135,999
  6. Step 6: Final answer
    x = 306,353.35

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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.