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Finding the Third Proportional to 133,078 and 194,460

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Solution

The third proportional to 133,078 and 194,460 is: 284,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 194,460 = 194,460 : x
  2. Step 2: Convert to fraction form
    133,078/194,460 = 194,460/x
  3. Step 3: Cross multiply
    133,078x = 194,460 × 194,460
  4. Step 4: Simplify right side
    133,078x = 37,814,691,600
  5. Step 5: Solve for x
    x = 37,814,691,600/133,078
  6. Step 6: Final answer
    x = 284,154.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.