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Finding the Third Proportional to 731.75 and 1,100.38

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Solution

The third proportional to 731.75 and 1,100.38 is: 1,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 1,100.38 = 1,100.38 : x
  2. Step 2: Convert to fraction form
    731.75/1,100.38 = 1,100.38/x
  3. Step 3: Cross multiply
    731.75x = 1,100.38 × 1,100.38
  4. Step 4: Simplify right side
    731.75x = 1,210,825.14
  5. Step 5: Solve for x
    x = 1,210,825.14/731.75
  6. Step 6: Final answer
    x = 1,654.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.