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Finding the Third Proportional to 911.25 and 1,318.46

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Solution

The third proportional to 911.25 and 1,318.46 is: 1,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,318.46 = 1,318.46 : x
  2. Step 2: Convert to fraction form
    911.25/1,318.46 = 1,318.46/x
  3. Step 3: Cross multiply
    911.25x = 1,318.46 × 1,318.46
  4. Step 4: Simplify right side
    911.25x = 1,738,349.54
  5. Step 5: Solve for x
    x = 1,738,349.54/911.25
  6. Step 6: Final answer
    x = 1,907.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.