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Finding the Third Proportional to 133,044.75 and 285,770.25

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Solution

The third proportional to 133,044.75 and 285,770.25 is: 613,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.75 : 285,770.25 = 285,770.25 : x
  2. Step 2: Convert to fraction form
    133,044.75/285,770.25 = 285,770.25/x
  3. Step 3: Cross multiply
    133,044.75x = 285,770.25 × 285,770.25
  4. Step 4: Simplify right side
    133,044.75x = 81,664,635,785.06
  5. Step 5: Solve for x
    x = 81,664,635,785.06/133,044.75
  6. Step 6: Final answer
    x = 613,813.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.