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Finding the Third Proportional to 735.50 and 815.50

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Solution

The third proportional to 735.50 and 815.50 is: 904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 815.50 = 815.50 : x
  2. Step 2: Convert to fraction form
    735.50/815.50 = 815.50/x
  3. Step 3: Cross multiply
    735.50x = 815.50 × 815.50
  4. Step 4: Simplify right side
    735.50x = 665,040.25
  5. Step 5: Solve for x
    x = 665,040.25/735.50
  6. Step 6: Final answer
    x = 904.20

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.