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Finding the Third Proportional to 1,966.78 and 2,722.36

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Solution

The third proportional to 1,966.78 and 2,722.36 is: 3,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 2,722.36 = 2,722.36 : x
  2. Step 2: Convert to fraction form
    1,966.78/2,722.36 = 2,722.36/x
  3. Step 3: Cross multiply
    1,966.78x = 2,722.36 × 2,722.36
  4. Step 4: Simplify right side
    1,966.78x = 7,411,240.57
  5. Step 5: Solve for x
    x = 7,411,240.57/1,966.78
  6. Step 6: Final answer
    x = 3,768.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.