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Finding the Third Proportional to 133,010 and 194,553

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Solution

The third proportional to 133,010 and 194,553 is: 284,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,010 : 194,553 = 194,553 : x
  2. Step 2: Convert to fraction form
    133,010/194,553 = 194,553/x
  3. Step 3: Cross multiply
    133,010x = 194,553 × 194,553
  4. Step 4: Simplify right side
    133,010x = 37,850,869,809
  5. Step 5: Solve for x
    x = 37,850,869,809/133,010
  6. Step 6: Final answer
    x = 284,571.61

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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.