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Finding the Third Proportional to 133,096 and 202,184

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Solution

The third proportional to 133,096 and 202,184 is: 307,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 202,184 = 202,184 : x
  2. Step 2: Convert to fraction form
    133,096/202,184 = 202,184/x
  3. Step 3: Cross multiply
    133,096x = 202,184 × 202,184
  4. Step 4: Simplify right side
    133,096x = 40,878,369,856
  5. Step 5: Solve for x
    x = 40,878,369,856/133,096
  6. Step 6: Final answer
    x = 307,134.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.