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Finding the Third Proportional to 1,780 and 2,381

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Solution

The third proportional to 1,780 and 2,381 is: 3,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780 : 2,381 = 2,381 : x
  2. Step 2: Convert to fraction form
    1,780/2,381 = 2,381/x
  3. Step 3: Cross multiply
    1,780x = 2,381 × 2,381
  4. Step 4: Simplify right side
    1,780x = 5,669,161
  5. Step 5: Solve for x
    x = 5,669,161/1,780
  6. Step 6: Final answer
    x = 3,184.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.