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Finding the Third Proportional to 352.50 and 762.88

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Solution

The third proportional to 352.50 and 762.88 is: 1,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.50 : 762.88 = 762.88 : x
  2. Step 2: Convert to fraction form
    352.50/762.88 = 762.88/x
  3. Step 3: Cross multiply
    352.50x = 762.88 × 762.88
  4. Step 4: Simplify right side
    352.50x = 581,978.27
  5. Step 5: Solve for x
    x = 581,978.27/352.50
  6. Step 6: Final answer
    x = 1,651.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.