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Finding the Third Proportional to 135,640.69 and 297,883.69

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Solution

The third proportional to 135,640.69 and 297,883.69 is: 654,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,640.69 : 297,883.69 = 297,883.69 : x
  2. Step 2: Convert to fraction form
    135,640.69/297,883.69 = 297,883.69/x
  3. Step 3: Cross multiply
    135,640.69x = 297,883.69 × 297,883.69
  4. Step 4: Simplify right side
    135,640.69x = 88,734,691,278.60
  5. Step 5: Solve for x
    x = 88,734,691,278.60/135,640.69
  6. Step 6: Final answer
    x = 654,189.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.