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Finding the Third Proportional to 1,291 and 2,830

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Solution

The third proportional to 1,291 and 2,830 is: 6,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 2,830 = 2,830 : x
  2. Step 2: Convert to fraction form
    1,291/2,830 = 2,830/x
  3. Step 3: Cross multiply
    1,291x = 2,830 × 2,830
  4. Step 4: Simplify right side
    1,291x = 8,008,900
  5. Step 5: Solve for x
    x = 8,008,900/1,291
  6. Step 6: Final answer
    x = 6,203.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.