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Finding the Third Proportional to 1,820.25 and 2,744.63

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Solution

The third proportional to 1,820.25 and 2,744.63 is: 4,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.25 : 2,744.63 = 2,744.63 : x
  2. Step 2: Convert to fraction form
    1,820.25/2,744.63 = 2,744.63/x
  3. Step 3: Cross multiply
    1,820.25x = 2,744.63 × 2,744.63
  4. Step 4: Simplify right side
    1,820.25x = 7,532,966.39
  5. Step 5: Solve for x
    x = 7,532,966.39/1,820.25
  6. Step 6: Final answer
    x = 4,138.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.