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Finding the Third Proportional to 145,939.50 and 320,610

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Solution

The third proportional to 145,939.50 and 320,610 is: 704,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,939.50 : 320,610 = 320,610 : x
  2. Step 2: Convert to fraction form
    145,939.50/320,610 = 320,610/x
  3. Step 3: Cross multiply
    145,939.50x = 320,610 × 320,610
  4. Step 4: Simplify right side
    145,939.50x = 102,790,772,100
  5. Step 5: Solve for x
    x = 102,790,772,100/145,939.50
  6. Step 6: Final answer
    x = 704,338.25

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