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Finding the Third Proportional to 133,096 and 201,025

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Solution

The third proportional to 133,096 and 201,025 is: 303,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 201,025 = 201,025 : x
  2. Step 2: Convert to fraction form
    133,096/201,025 = 201,025/x
  3. Step 3: Cross multiply
    133,096x = 201,025 × 201,025
  4. Step 4: Simplify right side
    133,096x = 40,411,050,625
  5. Step 5: Solve for x
    x = 40,411,050,625/133,096
  6. Step 6: Final answer
    x = 303,623.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.