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Finding the Third Proportional to 263.75 and 412.38

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Solution

The third proportional to 263.75 and 412.38 is: 644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 412.38 = 412.38 : x
  2. Step 2: Convert to fraction form
    263.75/412.38 = 412.38/x
  3. Step 3: Cross multiply
    263.75x = 412.38 × 412.38
  4. Step 4: Simplify right side
    263.75x = 170,053.14
  5. Step 5: Solve for x
    x = 170,053.14/263.75
  6. Step 6: Final answer
    x = 644.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.