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Finding the Third Proportional to 750.50 and 1,610

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Solution

The third proportional to 750.50 and 1,610 is: 3,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.50 : 1,610 = 1,610 : x
  2. Step 2: Convert to fraction form
    750.50/1,610 = 1,610/x
  3. Step 3: Cross multiply
    750.50x = 1,610 × 1,610
  4. Step 4: Simplify right side
    750.50x = 2,592,100
  5. Step 5: Solve for x
    x = 2,592,100/750.50
  6. Step 6: Final answer
    x = 3,453.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.