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Finding the Third Proportional to 85,580.50 and 182,610

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Solution

The third proportional to 85,580.50 and 182,610 is: 389,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,580.50 : 182,610 = 182,610 : x
  2. Step 2: Convert to fraction form
    85,580.50/182,610 = 182,610/x
  3. Step 3: Cross multiply
    85,580.50x = 182,610 × 182,610
  4. Step 4: Simplify right side
    85,580.50x = 33,346,412,100
  5. Step 5: Solve for x
    x = 33,346,412,100/85,580.50
  6. Step 6: Final answer
    x = 389,649.65

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