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Finding the Third Proportional to 133,050 and 194,391

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Solution

The third proportional to 133,050 and 194,391 is: 284,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 194,391 = 194,391 : x
  2. Step 2: Convert to fraction form
    133,050/194,391 = 194,391/x
  3. Step 3: Cross multiply
    133,050x = 194,391 × 194,391
  4. Step 4: Simplify right side
    133,050x = 37,787,860,881
  5. Step 5: Solve for x
    x = 37,787,860,881/133,050
  6. Step 6: Final answer
    x = 284,012.48

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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.