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Finding the Third Proportional to 1,291 and 1,882.25

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Solution

The third proportional to 1,291 and 1,882.25 is: 2,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 1,882.25 = 1,882.25 : x
  2. Step 2: Convert to fraction form
    1,291/1,882.25 = 1,882.25/x
  3. Step 3: Cross multiply
    1,291x = 1,882.25 × 1,882.25
  4. Step 4: Simplify right side
    1,291x = 3,542,865.06
  5. Step 5: Solve for x
    x = 3,542,865.06/1,291
  6. Step 6: Final answer
    x = 2,744.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.