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Finding the Third Proportional to 719.75 and 1,576.42

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Solution

The third proportional to 719.75 and 1,576.42 is: 3,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 1,576.42 = 1,576.42 : x
  2. Step 2: Convert to fraction form
    719.75/1,576.42 = 1,576.42/x
  3. Step 3: Cross multiply
    719.75x = 1,576.42 × 1,576.42
  4. Step 4: Simplify right side
    719.75x = 2,485,084.38
  5. Step 5: Solve for x
    x = 2,485,084.38/719.75
  6. Step 6: Final answer
    x = 3,452.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.