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Finding the Third Proportional to 866.25 and 1,362.38

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Solution

The third proportional to 866.25 and 1,362.38 is: 2,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.25 : 1,362.38 = 1,362.38 : x
  2. Step 2: Convert to fraction form
    866.25/1,362.38 = 1,362.38/x
  3. Step 3: Cross multiply
    866.25x = 1,362.38 × 1,362.38
  4. Step 4: Simplify right side
    866.25x = 1,856,065.64
  5. Step 5: Solve for x
    x = 1,856,065.64/866.25
  6. Step 6: Final answer
    x = 2,142.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.