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Finding the Third Proportional to 1,309 and 1,841

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Solution

The third proportional to 1,309 and 1,841 is: 2,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309 : 1,841 = 1,841 : x
  2. Step 2: Convert to fraction form
    1,309/1,841 = 1,841/x
  3. Step 3: Cross multiply
    1,309x = 1,841 × 1,841
  4. Step 4: Simplify right side
    1,309x = 3,389,281
  5. Step 5: Solve for x
    x = 3,389,281/1,309
  6. Step 6: Final answer
    x = 2,589.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.