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Finding the Third Proportional to 320,157.56 and 681,792.75

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Solution

The third proportional to 320,157.56 and 681,792.75 is: 1,451,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,157.56 : 681,792.75 = 681,792.75 : x
  2. Step 2: Convert to fraction form
    320,157.56/681,792.75 = 681,792.75/x
  3. Step 3: Cross multiply
    320,157.56x = 681,792.75 × 681,792.75
  4. Step 4: Simplify right side
    320,157.56x = 464,841,353,952.56
  5. Step 5: Solve for x
    x = 464,841,353,952.56/320,157.56
  6. Step 6: Final answer
    x = 1,451,914.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.