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Finding the Third Proportional to 907.97 and 1,396.27

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Solution

The third proportional to 907.97 and 1,396.27 is: 2,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.97 : 1,396.27 = 1,396.27 : x
  2. Step 2: Convert to fraction form
    907.97/1,396.27 = 1,396.27/x
  3. Step 3: Cross multiply
    907.97x = 1,396.27 × 1,396.27
  4. Step 4: Simplify right side
    907.97x = 1,949,557.70
  5. Step 5: Solve for x
    x = 1,949,557.70/907.97
  6. Step 6: Final answer
    x = 2,147.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.