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Finding the Third Proportional to 133,572.80 and 280,982.67

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Solution

The third proportional to 133,572.80 and 280,982.67 is: 591,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,572.80 : 280,982.67 = 280,982.67 : x
  2. Step 2: Convert to fraction form
    133,572.80/280,982.67 = 280,982.67/x
  3. Step 3: Cross multiply
    133,572.80x = 280,982.67 × 280,982.67
  4. Step 4: Simplify right side
    133,572.80x = 78,951,261,894.01
  5. Step 5: Solve for x
    x = 78,951,261,894.01/133,572.80
  6. Step 6: Final answer
    x = 591,072.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.